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Finding the Fourth Proportional to 154.58, 232.11 and 135.41

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Solution

The fourth proportional to 154.58, 232.11 and 135.41 is: 203.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    154.58 : 232.11 = 135.41 : x
  2. Step 2: Convert to fraction form
    154.58/232.11 = 135.41/x
  3. Step 3: Cross multiply
    154.58x = 232.11 × 135.41
  4. Step 4: Simplify right side
    154.58x = 31,428.85
  5. Step 5: Solve for x
    x = 31,428.85/154.58
  6. Step 6: Final answer
    x = 203.32

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.