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Finding the Fourth Proportional to 185.55, 256.05 and 102.64

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Solution

The fourth proportional to 185.55, 256.05 and 102.64 is: 141.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    185.55 : 256.05 = 102.64 : x
  2. Step 2: Convert to fraction form
    185.55/256.05 = 102.64/x
  3. Step 3: Cross multiply
    185.55x = 256.05 × 102.64
  4. Step 4: Simplify right side
    185.55x = 26,280.97
  5. Step 5: Solve for x
    x = 26,280.97/185.55
  6. Step 6: Final answer
    x = 141.64

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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.