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Finding the Fourth Proportional to 244.72, 337.65 and 146.50

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Solution

The fourth proportional to 244.72, 337.65 and 146.50 is: 202.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    244.72 : 337.65 = 146.50 : x
  2. Step 2: Convert to fraction form
    244.72/337.65 = 146.50/x
  3. Step 3: Cross multiply
    244.72x = 337.65 × 146.50
  4. Step 4: Simplify right side
    244.72x = 49,465.73
  5. Step 5: Solve for x
    x = 49,465.73/244.72
  6. Step 6: Final answer
    x = 202.13

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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.