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Finding the Fourth Proportional to 187.80, 281.70 and 177.90

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Solution

The fourth proportional to 187.80, 281.70 and 177.90 is: 266.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    187.80 : 281.70 = 177.90 : x
  2. Step 2: Convert to fraction form
    187.80/281.70 = 177.90/x
  3. Step 3: Cross multiply
    187.80x = 281.70 × 177.90
  4. Step 4: Simplify right side
    187.80x = 50,114.43
  5. Step 5: Solve for x
    x = 50,114.43/187.80
  6. Step 6: Final answer
    x = 266.85

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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.