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Finding the Fourth Proportional to 154.70, 230.93 and 144.46

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Solution

The fourth proportional to 154.70, 230.93 and 144.46 is: 215.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    154.70 : 230.93 = 144.46 : x
  2. Step 2: Convert to fraction form
    154.70/230.93 = 144.46/x
  3. Step 3: Cross multiply
    154.70x = 230.93 × 144.46
  4. Step 4: Simplify right side
    154.70x = 33,359.93
  5. Step 5: Solve for x
    x = 33,359.93/154.70
  6. Step 6: Final answer
    x = 215.65

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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.