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Finding the Fourth Proportional to 154.48, 230.69 and 145.48

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Solution

The fourth proportional to 154.48, 230.69 and 145.48 is: 217.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    154.48 : 230.69 = 145.48 : x
  2. Step 2: Convert to fraction form
    154.48/230.69 = 145.48/x
  3. Step 3: Cross multiply
    154.48x = 230.69 × 145.48
  4. Step 4: Simplify right side
    154.48x = 33,560.78
  5. Step 5: Solve for x
    x = 33,560.78/154.48
  6. Step 6: Final answer
    x = 217.25

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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.