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Finding the Fourth Proportional to 244.82, 337.84 and 146.54

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Solution

The fourth proportional to 244.82, 337.84 and 146.54 is: 202.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    244.82 : 337.84 = 146.54 : x
  2. Step 2: Convert to fraction form
    244.82/337.84 = 146.54/x
  3. Step 3: Cross multiply
    244.82x = 337.84 × 146.54
  4. Step 4: Simplify right side
    244.82x = 49,507.55
  5. Step 5: Solve for x
    x = 49,507.55/244.82
  6. Step 6: Final answer
    x = 202.22

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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.