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Finding the Fourth Proportional to 292.92, 438.66 and 177.24

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Solution

The fourth proportional to 292.92, 438.66 and 177.24 is: 265.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    292.92 : 438.66 = 177.24 : x
  2. Step 2: Convert to fraction form
    292.92/438.66 = 177.24/x
  3. Step 3: Cross multiply
    292.92x = 438.66 × 177.24
  4. Step 4: Simplify right side
    292.92x = 77,748.10
  5. Step 5: Solve for x
    x = 77,748.10/292.92
  6. Step 6: Final answer
    x = 265.42

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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.