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Finding the Fourth Proportional to 187.50, 281.88 and 149.46

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Solution

The fourth proportional to 187.50, 281.88 and 149.46 is: 224.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    187.50 : 281.88 = 149.46 : x
  2. Step 2: Convert to fraction form
    187.50/281.88 = 149.46/x
  3. Step 3: Cross multiply
    187.50x = 281.88 × 149.46
  4. Step 4: Simplify right side
    187.50x = 42,129.78
  5. Step 5: Solve for x
    x = 42,129.78/187.50
  6. Step 6: Final answer
    x = 224.69

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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.