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Finding the Fourth Proportional to 249.18, 373.05 and 208.14

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Solution

The fourth proportional to 249.18, 373.05 and 208.14 is: 311.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    249.18 : 373.05 = 208.14 : x
  2. Step 2: Convert to fraction form
    249.18/373.05 = 208.14/x
  3. Step 3: Cross multiply
    249.18x = 373.05 × 208.14
  4. Step 4: Simplify right side
    249.18x = 77,646.63
  5. Step 5: Solve for x
    x = 77,646.63/249.18
  6. Step 6: Final answer
    x = 311.61

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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.