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Finding the Fourth Proportional to 673.30, 1,009.86 and 186.31

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Solution

The fourth proportional to 673.30, 1,009.86 and 186.31 is: 279.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    673.30 : 1,009.86 = 186.31 : x
  2. Step 2: Convert to fraction form
    673.30/1,009.86 = 186.31/x
  3. Step 3: Cross multiply
    673.30x = 1,009.86 × 186.31
  4. Step 4: Simplify right side
    673.30x = 188,147.02
  5. Step 5: Solve for x
    x = 188,147.02/673.30
  6. Step 6: Final answer
    x = 279.44

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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.