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Finding the Fourth Proportional to 362.14, 542.78 and 208.14

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Solution

The fourth proportional to 362.14, 542.78 and 208.14 is: 311.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    362.14 : 542.78 = 208.14 : x
  2. Step 2: Convert to fraction form
    362.14/542.78 = 208.14/x
  3. Step 3: Cross multiply
    362.14x = 542.78 × 208.14
  4. Step 4: Simplify right side
    362.14x = 112,973.97
  5. Step 5: Solve for x
    x = 112,973.97/362.14
  6. Step 6: Final answer
    x = 311.96

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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.