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Finding the Fourth Proportional to 187.12, 281.32 and 153.13

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Solution

The fourth proportional to 187.12, 281.32 and 153.13 is: 230.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    187.12 : 281.32 = 153.13 : x
  2. Step 2: Convert to fraction form
    187.12/281.32 = 153.13/x
  3. Step 3: Cross multiply
    187.12x = 281.32 × 153.13
  4. Step 4: Simplify right side
    187.12x = 43,077.45
  5. Step 5: Solve for x
    x = 43,077.45/187.12
  6. Step 6: Final answer
    x = 230.22

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.