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Finding the Fourth Proportional to 244.40, 337.23 and 146.14

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Solution

The fourth proportional to 244.40, 337.23 and 146.14 is: 201.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    244.40 : 337.23 = 146.14 : x
  2. Step 2: Convert to fraction form
    244.40/337.23 = 146.14/x
  3. Step 3: Cross multiply
    244.40x = 337.23 × 146.14
  4. Step 4: Simplify right side
    244.40x = 49,281.95
  5. Step 5: Solve for x
    x = 49,281.95/244.40
  6. Step 6: Final answer
    x = 201.65

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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.