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Finding the Fourth Proportional to 244.74, 337.78 and 146.56

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Solution

The fourth proportional to 244.74, 337.78 and 146.56 is: 202.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    244.74 : 337.78 = 146.56 : x
  2. Step 2: Convert to fraction form
    244.74/337.78 = 146.56/x
  3. Step 3: Cross multiply
    244.74x = 337.78 × 146.56
  4. Step 4: Simplify right side
    244.74x = 49,505.04
  5. Step 5: Solve for x
    x = 49,505.04/244.74
  6. Step 6: Final answer
    x = 202.28

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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.