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Finding the Fourth Proportional to 314.61, 472.31 and 177.77

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Solution

The fourth proportional to 314.61, 472.31 and 177.77 is: 266.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    314.61 : 472.31 = 177.77 : x
  2. Step 2: Convert to fraction form
    314.61/472.31 = 177.77/x
  3. Step 3: Cross multiply
    314.61x = 472.31 × 177.77
  4. Step 4: Simplify right side
    314.61x = 83,959.30
  5. Step 5: Solve for x
    x = 83,959.30/314.61
  6. Step 6: Final answer
    x = 266.87

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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.