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Finding the Fourth Proportional to 249.40, 373.85 and 146.66

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Solution

The fourth proportional to 249.40, 373.85 and 146.66 is: 219.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    249.40 : 373.85 = 146.66 : x
  2. Step 2: Convert to fraction form
    249.40/373.85 = 146.66/x
  3. Step 3: Cross multiply
    249.40x = 373.85 × 146.66
  4. Step 4: Simplify right side
    249.40x = 54,830.14
  5. Step 5: Solve for x
    x = 54,830.14/249.40
  6. Step 6: Final answer
    x = 219.85

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.