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Finding the Fourth Proportional to 507.81, 761.69 and 178.65

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Solution

The fourth proportional to 507.81, 761.69 and 178.65 is: 267.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    507.81 : 761.69 = 178.65 : x
  2. Step 2: Convert to fraction form
    507.81/761.69 = 178.65/x
  3. Step 3: Cross multiply
    507.81x = 761.69 × 178.65
  4. Step 4: Simplify right side
    507.81x = 136,075.03
  5. Step 5: Solve for x
    x = 136,075.03/507.81
  6. Step 6: Final answer
    x = 267.96

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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.