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Finding the Fourth Proportional to 356.49, 534.25 and 139.95

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Solution

The fourth proportional to 356.49, 534.25 and 139.95 is: 209.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    356.49 : 534.25 = 139.95 : x
  2. Step 2: Convert to fraction form
    356.49/534.25 = 139.95/x
  3. Step 3: Cross multiply
    356.49x = 534.25 × 139.95
  4. Step 4: Simplify right side
    356.49x = 74,768.29
  5. Step 5: Solve for x
    x = 74,768.29/356.49
  6. Step 6: Final answer
    x = 209.73

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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.