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Finding the Fourth Proportional to 338.91, 508.10 and 156.21

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Solution

The fourth proportional to 338.91, 508.10 and 156.21 is: 234.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    338.91 : 508.10 = 156.21 : x
  2. Step 2: Convert to fraction form
    338.91/508.10 = 156.21/x
  3. Step 3: Cross multiply
    338.91x = 508.10 × 156.21
  4. Step 4: Simplify right side
    338.91x = 79,369.52
  5. Step 5: Solve for x
    x = 79,369.52/338.91
  6. Step 6: Final answer
    x = 234.19

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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.