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Finding the Fourth Proportional to 185.40, 256.02 and 136.20

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Solution

The fourth proportional to 185.40, 256.02 and 136.20 is: 188.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    185.40 : 256.02 = 136.20 : x
  2. Step 2: Convert to fraction form
    185.40/256.02 = 136.20/x
  3. Step 3: Cross multiply
    185.40x = 256.02 × 136.20
  4. Step 4: Simplify right side
    185.40x = 34,869.92
  5. Step 5: Solve for x
    x = 34,869.92/185.40
  6. Step 6: Final answer
    x = 188.08

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.