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Finding the Fourth Proportional to 292.76, 439.25 and 177.29

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Solution

The fourth proportional to 292.76, 439.25 and 177.29 is: 266.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    292.76 : 439.25 = 177.29 : x
  2. Step 2: Convert to fraction form
    292.76/439.25 = 177.29/x
  3. Step 3: Cross multiply
    292.76x = 439.25 × 177.29
  4. Step 4: Simplify right side
    292.76x = 77,871.55
  5. Step 5: Solve for x
    x = 77,871.55/292.76
  6. Step 6: Final answer
    x = 266.00

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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.