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Finding the Fourth Proportional to 187.97, 278.12 and 187.43

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Solution

The fourth proportional to 187.97, 278.12 and 187.43 is: 277.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    187.97 : 278.12 = 187.43 : x
  2. Step 2: Convert to fraction form
    187.97/278.12 = 187.43/x
  3. Step 3: Cross multiply
    187.97x = 278.12 × 187.43
  4. Step 4: Simplify right side
    187.97x = 52,128.03
  5. Step 5: Solve for x
    x = 52,128.03/187.97
  6. Step 6: Final answer
    x = 277.32

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These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.