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Finding the Fourth Proportional to 187.52, 281.36 and 180.16

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Solution

The fourth proportional to 187.52, 281.36 and 180.16 is: 270.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    187.52 : 281.36 = 180.16 : x
  2. Step 2: Convert to fraction form
    187.52/281.36 = 180.16/x
  3. Step 3: Cross multiply
    187.52x = 281.36 × 180.16
  4. Step 4: Simplify right side
    187.52x = 50,689.82
  5. Step 5: Solve for x
    x = 50,689.82/187.52
  6. Step 6: Final answer
    x = 270.32

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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.