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Finding the Fourth Proportional to 244.83, 337.86 and 145.27

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Solution

The fourth proportional to 244.83, 337.86 and 145.27 is: 200.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    244.83 : 337.86 = 145.27 : x
  2. Step 2: Convert to fraction form
    244.83/337.86 = 145.27/x
  3. Step 3: Cross multiply
    244.83x = 337.86 × 145.27
  4. Step 4: Simplify right side
    244.83x = 49,080.92
  5. Step 5: Solve for x
    x = 49,080.92/244.83
  6. Step 6: Final answer
    x = 200.47

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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.