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Finding the Fourth Proportional to 154, 232.27 and 148.24

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Solution

The fourth proportional to 154, 232.27 and 148.24 is: 223.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    154 : 232.27 = 148.24 : x
  2. Step 2: Convert to fraction form
    154/232.27 = 148.24/x
  3. Step 3: Cross multiply
    154x = 232.27 × 148.24
  4. Step 4: Simplify right side
    154x = 34,431.70
  5. Step 5: Solve for x
    x = 34,431.70/154
  6. Step 6: Final answer
    x = 223.58

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.