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Finding the Fourth Proportional to 154.57, 232.34 and 134.53

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Solution

The fourth proportional to 154.57, 232.34 and 134.53 is: 202.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    154.57 : 232.34 = 134.53 : x
  2. Step 2: Convert to fraction form
    154.57/232.34 = 134.53/x
  3. Step 3: Cross multiply
    154.57x = 232.34 × 134.53
  4. Step 4: Simplify right side
    154.57x = 31,256.70
  5. Step 5: Solve for x
    x = 31,256.70/154.57
  6. Step 6: Final answer
    x = 202.22

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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.