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Finding the Fourth Proportional to 158.06, 237.10 and 149.86

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Solution

The fourth proportional to 158.06, 237.10 and 149.86 is: 224.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    158.06 : 237.10 = 149.86 : x
  2. Step 2: Convert to fraction form
    158.06/237.10 = 149.86/x
  3. Step 3: Cross multiply
    158.06x = 237.10 × 149.86
  4. Step 4: Simplify right side
    158.06x = 35,531.81
  5. Step 5: Solve for x
    x = 35,531.81/158.06
  6. Step 6: Final answer
    x = 224.80

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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.