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Finding the Fourth Proportional to 186.34, 257.15 and 112.66

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Solution

The fourth proportional to 186.34, 257.15 and 112.66 is: 155.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    186.34 : 257.15 = 112.66 : x
  2. Step 2: Convert to fraction form
    186.34/257.15 = 112.66/x
  3. Step 3: Cross multiply
    186.34x = 257.15 × 112.66
  4. Step 4: Simplify right side
    186.34x = 28,970.52
  5. Step 5: Solve for x
    x = 28,970.52/186.34
  6. Step 6: Final answer
    x = 155.47

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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.