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Finding the Fourth Proportional to 187.64, 281.78 and 180.29

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Solution

The fourth proportional to 187.64, 281.78 and 180.29 is: 270.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    187.64 : 281.78 = 180.29 : x
  2. Step 2: Convert to fraction form
    187.64/281.78 = 180.29/x
  3. Step 3: Cross multiply
    187.64x = 281.78 × 180.29
  4. Step 4: Simplify right side
    187.64x = 50,802.12
  5. Step 5: Solve for x
    x = 50,802.12/187.64
  6. Step 6: Final answer
    x = 270.74

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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.