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Finding the Fourth Proportional to 338.70, 508.01 and 146.30

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Solution

The fourth proportional to 338.70, 508.01 and 146.30 is: 219.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    338.70 : 508.01 = 146.30 : x
  2. Step 2: Convert to fraction form
    338.70/508.01 = 146.30/x
  3. Step 3: Cross multiply
    338.70x = 508.01 × 146.30
  4. Step 4: Simplify right side
    338.70x = 74,321.86
  5. Step 5: Solve for x
    x = 74,321.86/338.70
  6. Step 6: Final answer
    x = 219.43

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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.