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Finding the Fourth Proportional to 356.86, 535.32 and 140.56

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Solution

The fourth proportional to 356.86, 535.32 and 140.56 is: 210.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    356.86 : 535.32 = 140.56 : x
  2. Step 2: Convert to fraction form
    356.86/535.32 = 140.56/x
  3. Step 3: Cross multiply
    356.86x = 535.32 × 140.56
  4. Step 4: Simplify right side
    356.86x = 75,244.58
  5. Step 5: Solve for x
    x = 75,244.58/356.86
  6. Step 6: Final answer
    x = 210.85

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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.