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Finding the Fourth Proportional to 338.71, 507.52 and 176.71

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Solution

The fourth proportional to 338.71, 507.52 and 176.71 is: 264.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    338.71 : 507.52 = 176.71 : x
  2. Step 2: Convert to fraction form
    338.71/507.52 = 176.71/x
  3. Step 3: Cross multiply
    338.71x = 507.52 × 176.71
  4. Step 4: Simplify right side
    338.71x = 89,683.86
  5. Step 5: Solve for x
    x = 89,683.86/338.71
  6. Step 6: Final answer
    x = 264.78

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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.