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Finding the Fourth Proportional to 244.52, 337.40 and 146.25

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Solution

The fourth proportional to 244.52, 337.40 and 146.25 is: 201.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    244.52 : 337.40 = 146.25 : x
  2. Step 2: Convert to fraction form
    244.52/337.40 = 146.25/x
  3. Step 3: Cross multiply
    244.52x = 337.40 × 146.25
  4. Step 4: Simplify right side
    244.52x = 49,344.02
  5. Step 5: Solve for x
    x = 49,344.02/244.52
  6. Step 6: Final answer
    x = 201.80

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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.