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Finding the Fourth Proportional to 187.01, 281.72 and 146.61

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Solution

The fourth proportional to 187.01, 281.72 and 146.61 is: 220.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    187.01 : 281.72 = 146.61 : x
  2. Step 2: Convert to fraction form
    187.01/281.72 = 146.61/x
  3. Step 3: Cross multiply
    187.01x = 281.72 × 146.61
  4. Step 4: Simplify right side
    187.01x = 41,301.56
  5. Step 5: Solve for x
    x = 41,301.56/187.01
  6. Step 6: Final answer
    x = 220.86

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.