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Finding the Fourth Proportional to 356.39, 534.66 and 139.97

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Solution

The fourth proportional to 356.39, 534.66 and 139.97 is: 209.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    356.39 : 534.66 = 139.97 : x
  2. Step 2: Convert to fraction form
    356.39/534.66 = 139.97/x
  3. Step 3: Cross multiply
    356.39x = 534.66 × 139.97
  4. Step 4: Simplify right side
    356.39x = 74,837.70
  5. Step 5: Solve for x
    x = 74,837.70/356.39
  6. Step 6: Final answer
    x = 209.99

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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.