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Finding the Fourth Proportional to 185.35, 256.01 and 138.93

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Solution

The fourth proportional to 185.35, 256.01 and 138.93 is: 191.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    185.35 : 256.01 = 138.93 : x
  2. Step 2: Convert to fraction form
    185.35/256.01 = 138.93/x
  3. Step 3: Cross multiply
    185.35x = 256.01 × 138.93
  4. Step 4: Simplify right side
    185.35x = 35,567.47
  5. Step 5: Solve for x
    x = 35,567.47/185.35
  6. Step 6: Final answer
    x = 191.89

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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.