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Finding the Fourth Proportional to 154.08, 229.61 and 148.92

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Solution

The fourth proportional to 154.08, 229.61 and 148.92 is: 221.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    154.08 : 229.61 = 148.92 : x
  2. Step 2: Convert to fraction form
    154.08/229.61 = 148.92/x
  3. Step 3: Cross multiply
    154.08x = 229.61 × 148.92
  4. Step 4: Simplify right side
    154.08x = 34,193.52
  5. Step 5: Solve for x
    x = 34,193.52/154.08
  6. Step 6: Final answer
    x = 221.92

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