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Finding the Fourth Proportional to 244.90, 337.96 and 146.68

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Solution

The fourth proportional to 244.90, 337.96 and 146.68 is: 202.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    244.90 : 337.96 = 146.68 : x
  2. Step 2: Convert to fraction form
    244.90/337.96 = 146.68/x
  3. Step 3: Cross multiply
    244.90x = 337.96 × 146.68
  4. Step 4: Simplify right side
    244.90x = 49,571.97
  5. Step 5: Solve for x
    x = 49,571.97/244.90
  6. Step 6: Final answer
    x = 202.42

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.