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Finding the Fourth Proportional to 187.47, 281.26 and 57.47

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Solution

The fourth proportional to 187.47, 281.26 and 57.47 is: 86.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    187.47 : 281.26 = 57.47 : x
  2. Step 2: Convert to fraction form
    187.47/281.26 = 57.47/x
  3. Step 3: Cross multiply
    187.47x = 281.26 × 57.47
  4. Step 4: Simplify right side
    187.47x = 16,165.24
  5. Step 5: Solve for x
    x = 16,165.24/187.47
  6. Step 6: Final answer
    x = 86.23

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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.