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Finding the Fourth Proportional to 154.55, 232.66 and 135.41

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Solution

The fourth proportional to 154.55, 232.66 and 135.41 is: 203.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    154.55 : 232.66 = 135.41 : x
  2. Step 2: Convert to fraction form
    154.55/232.66 = 135.41/x
  3. Step 3: Cross multiply
    154.55x = 232.66 × 135.41
  4. Step 4: Simplify right side
    154.55x = 31,504.49
  5. Step 5: Solve for x
    x = 31,504.49/154.55
  6. Step 6: Final answer
    x = 203.85

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.