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Finding the Fourth Proportional to 673.67, 1,010.51 and 186.72

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Solution

The fourth proportional to 673.67, 1,010.51 and 186.72 is: 280.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    673.67 : 1,010.51 = 186.72 : x
  2. Step 2: Convert to fraction form
    673.67/1,010.51 = 186.72/x
  3. Step 3: Cross multiply
    673.67x = 1,010.51 × 186.72
  4. Step 4: Simplify right side
    673.67x = 188,681.49
  5. Step 5: Solve for x
    x = 188,681.49/673.67
  6. Step 6: Final answer
    x = 280.08

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.