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Finding the Fourth Proportional to 208.49, 312.87 and 117.14

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Solution

The fourth proportional to 208.49, 312.87 and 117.14 is: 175.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    208.49 : 312.87 = 117.14 : x
  2. Step 2: Convert to fraction form
    208.49/312.87 = 117.14/x
  3. Step 3: Cross multiply
    208.49x = 312.87 × 117.14
  4. Step 4: Simplify right side
    208.49x = 36,649.59
  5. Step 5: Solve for x
    x = 36,649.59/208.49
  6. Step 6: Final answer
    x = 175.79

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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.