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Finding the Fourth Proportional to 187.63, 258.57 and 158.15

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Solution

The fourth proportional to 187.63, 258.57 and 158.15 is: 217.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    187.63 : 258.57 = 158.15 : x
  2. Step 2: Convert to fraction form
    187.63/258.57 = 158.15/x
  3. Step 3: Cross multiply
    187.63x = 258.57 × 158.15
  4. Step 4: Simplify right side
    187.63x = 40,892.85
  5. Step 5: Solve for x
    x = 40,892.85/187.63
  6. Step 6: Final answer
    x = 217.94

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.