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Finding the Fourth Proportional to 158.62, 217.58 and 149.29

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Solution

The fourth proportional to 158.62, 217.58 and 149.29 is: 204.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    158.62 : 217.58 = 149.29 : x
  2. Step 2: Convert to fraction form
    158.62/217.58 = 149.29/x
  3. Step 3: Cross multiply
    158.62x = 217.58 × 149.29
  4. Step 4: Simplify right side
    158.62x = 32,482.52
  5. Step 5: Solve for x
    x = 32,482.52/158.62
  6. Step 6: Final answer
    x = 204.78

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.