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Finding the Fourth Proportional to 186.78, 257.52 and 155.16

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Solution

The fourth proportional to 186.78, 257.52 and 155.16 is: 213.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    186.78 : 257.52 = 155.16 : x
  2. Step 2: Convert to fraction form
    186.78/257.52 = 155.16/x
  3. Step 3: Cross multiply
    186.78x = 257.52 × 155.16
  4. Step 4: Simplify right side
    186.78x = 39,956.80
  5. Step 5: Solve for x
    x = 39,956.80/186.78
  6. Step 6: Final answer
    x = 213.92

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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.