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Finding the Fourth Proportional to 249.23, 373.96 and 95.21

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Solution

The fourth proportional to 249.23, 373.96 and 95.21 is: 142.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    249.23 : 373.96 = 95.21 : x
  2. Step 2: Convert to fraction form
    249.23/373.96 = 95.21/x
  3. Step 3: Cross multiply
    249.23x = 373.96 × 95.21
  4. Step 4: Simplify right side
    249.23x = 35,602.39
  5. Step 5: Solve for x
    x = 35,602.39/249.23
  6. Step 6: Final answer
    x = 142.85

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.