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Finding the Fourth Proportional to 200.12, 276.07 and 117.18

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Solution

The fourth proportional to 200.12, 276.07 and 117.18 is: 161.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    200.12 : 276.07 = 117.18 : x
  2. Step 2: Convert to fraction form
    200.12/276.07 = 117.18/x
  3. Step 3: Cross multiply
    200.12x = 276.07 × 117.18
  4. Step 4: Simplify right side
    200.12x = 32,348.81
  5. Step 5: Solve for x
    x = 32,348.81/200.12
  6. Step 6: Final answer
    x = 161.65

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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.