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Finding the Fourth Proportional to 187.40, 279.45 and 166.88

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Solution

The fourth proportional to 187.40, 279.45 and 166.88 is: 248.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    187.40 : 279.45 = 166.88 : x
  2. Step 2: Convert to fraction form
    187.40/279.45 = 166.88/x
  3. Step 3: Cross multiply
    187.40x = 279.45 × 166.88
  4. Step 4: Simplify right side
    187.40x = 46,634.62
  5. Step 5: Solve for x
    x = 46,634.62/187.40
  6. Step 6: Final answer
    x = 248.85

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.