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Finding the Fourth Proportional to 292.71, 439.38 and 177.24

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Solution

The fourth proportional to 292.71, 439.38 and 177.24 is: 266.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    292.71 : 439.38 = 177.24 : x
  2. Step 2: Convert to fraction form
    292.71/439.38 = 177.24/x
  3. Step 3: Cross multiply
    292.71x = 439.38 × 177.24
  4. Step 4: Simplify right side
    292.71x = 77,875.71
  5. Step 5: Solve for x
    x = 77,875.71/292.71
  6. Step 6: Final answer
    x = 266.05

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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.