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Finding the Fourth Proportional to 356.73, 535.16 and 140.46

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Solution

The fourth proportional to 356.73, 535.16 and 140.46 is: 210.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    356.73 : 535.16 = 140.46 : x
  2. Step 2: Convert to fraction form
    356.73/535.16 = 140.46/x
  3. Step 3: Cross multiply
    356.73x = 535.16 × 140.46
  4. Step 4: Simplify right side
    356.73x = 75,167.87
  5. Step 5: Solve for x
    x = 75,167.87/356.73
  6. Step 6: Final answer
    x = 210.71

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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.