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Finding the Fourth Proportional to 187.40, 281.04 and 77.70

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Solution

The fourth proportional to 187.40, 281.04 and 77.70 is: 116.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    187.40 : 281.04 = 77.70 : x
  2. Step 2: Convert to fraction form
    187.40/281.04 = 77.70/x
  3. Step 3: Cross multiply
    187.40x = 281.04 × 77.70
  4. Step 4: Simplify right side
    187.40x = 21,836.81
  5. Step 5: Solve for x
    x = 21,836.81/187.40
  6. Step 6: Final answer
    x = 116.53

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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.