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Finding the Fourth Proportional to 154.24, 230.12 and 148.64

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Solution

The fourth proportional to 154.24, 230.12 and 148.64 is: 221.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    154.24 : 230.12 = 148.64 : x
  2. Step 2: Convert to fraction form
    154.24/230.12 = 148.64/x
  3. Step 3: Cross multiply
    154.24x = 230.12 × 148.64
  4. Step 4: Simplify right side
    154.24x = 34,203.14
  5. Step 5: Solve for x
    x = 34,203.14/154.24
  6. Step 6: Final answer
    x = 221.75

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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.