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Finding the Fourth Proportional to 154.19, 229.81 and 147.41

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Solution

The fourth proportional to 154.19, 229.81 and 147.41 is: 219.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    154.19 : 229.81 = 147.41 : x
  2. Step 2: Convert to fraction form
    154.19/229.81 = 147.41/x
  3. Step 3: Cross multiply
    154.19x = 229.81 × 147.41
  4. Step 4: Simplify right side
    154.19x = 33,876.29
  5. Step 5: Solve for x
    x = 33,876.29/154.19
  6. Step 6: Final answer
    x = 219.70

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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.