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Finding the Fourth Proportional to 154.53, 229.92 and 153.18

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Solution

The fourth proportional to 154.53, 229.92 and 153.18 is: 227.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    154.53 : 229.92 = 153.18 : x
  2. Step 2: Convert to fraction form
    154.53/229.92 = 153.18/x
  3. Step 3: Cross multiply
    154.53x = 229.92 × 153.18
  4. Step 4: Simplify right side
    154.53x = 35,219.15
  5. Step 5: Solve for x
    x = 35,219.15/154.53
  6. Step 6: Final answer
    x = 227.91

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.