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Finding the Fourth Proportional to 185.54, 256.07 and 115.62

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Solution

The fourth proportional to 185.54, 256.07 and 115.62 is: 159.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    185.54 : 256.07 = 115.62 : x
  2. Step 2: Convert to fraction form
    185.54/256.07 = 115.62/x
  3. Step 3: Cross multiply
    185.54x = 256.07 × 115.62
  4. Step 4: Simplify right side
    185.54x = 29,606.14
  5. Step 5: Solve for x
    x = 29,606.14/185.54
  6. Step 6: Final answer
    x = 159.57

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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.