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Finding the Fourth Proportional to 200.18, 299.97 and 116.88

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Solution

The fourth proportional to 200.18, 299.97 and 116.88 is: 175.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    200.18 : 299.97 = 116.88 : x
  2. Step 2: Convert to fraction form
    200.18/299.97 = 116.88/x
  3. Step 3: Cross multiply
    200.18x = 299.97 × 116.88
  4. Step 4: Simplify right side
    200.18x = 35,060.49
  5. Step 5: Solve for x
    x = 35,060.49/200.18
  6. Step 6: Final answer
    x = 175.15

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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.