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Finding the Fourth Proportional to 185.78, 256.30 and 142.04

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Solution

The fourth proportional to 185.78, 256.30 and 142.04 is: 195.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    185.78 : 256.30 = 142.04 : x
  2. Step 2: Convert to fraction form
    185.78/256.30 = 142.04/x
  3. Step 3: Cross multiply
    185.78x = 256.30 × 142.04
  4. Step 4: Simplify right side
    185.78x = 36,405.14
  5. Step 5: Solve for x
    x = 36,405.14/185.78
  6. Step 6: Final answer
    x = 195.96

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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.