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Finding the Fourth Proportional to 200.85, 277.15 and 116.76

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Solution

The fourth proportional to 200.85, 277.15 and 116.76 is: 161.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    200.85 : 277.15 = 116.76 : x
  2. Step 2: Convert to fraction form
    200.85/277.15 = 116.76/x
  3. Step 3: Cross multiply
    200.85x = 277.15 × 116.76
  4. Step 4: Simplify right side
    200.85x = 32,360.03
  5. Step 5: Solve for x
    x = 32,360.03/200.85
  6. Step 6: Final answer
    x = 161.12

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.