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Finding the Fourth Proportional to 314.47, 472.08 and 177.61

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Solution

The fourth proportional to 314.47, 472.08 and 177.61 is: 266.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    314.47 : 472.08 = 177.61 : x
  2. Step 2: Convert to fraction form
    314.47/472.08 = 177.61/x
  3. Step 3: Cross multiply
    314.47x = 472.08 × 177.61
  4. Step 4: Simplify right side
    314.47x = 83,846.13
  5. Step 5: Solve for x
    x = 83,846.13/314.47
  6. Step 6: Final answer
    x = 266.63

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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.