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Finding the Fourth Proportional to 356.57, 535.07 and 151.17

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Solution

The fourth proportional to 356.57, 535.07 and 151.17 is: 226.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    356.57 : 535.07 = 151.17 : x
  2. Step 2: Convert to fraction form
    356.57/535.07 = 151.17/x
  3. Step 3: Cross multiply
    356.57x = 535.07 × 151.17
  4. Step 4: Simplify right side
    356.57x = 80,885.78
  5. Step 5: Solve for x
    x = 80,885.78/356.57
  6. Step 6: Final answer
    x = 226.85

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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.