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Finding the Fourth Proportional to 208.61, 313.28 and 136.43

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Solution

The fourth proportional to 208.61, 313.28 and 136.43 is: 204.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    208.61 : 313.28 = 136.43 : x
  2. Step 2: Convert to fraction form
    208.61/313.28 = 136.43/x
  3. Step 3: Cross multiply
    208.61x = 313.28 × 136.43
  4. Step 4: Simplify right side
    208.61x = 42,740.11
  5. Step 5: Solve for x
    x = 42,740.11/208.61
  6. Step 6: Final answer
    x = 204.88

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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.