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Finding the Fourth Proportional to 200.06, 276.09 and 117.20

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Solution

The fourth proportional to 200.06, 276.09 and 117.20 is: 161.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    200.06 : 276.09 = 117.20 : x
  2. Step 2: Convert to fraction form
    200.06/276.09 = 117.20/x
  3. Step 3: Cross multiply
    200.06x = 276.09 × 117.20
  4. Step 4: Simplify right side
    200.06x = 32,357.75
  5. Step 5: Solve for x
    x = 32,357.75/200.06
  6. Step 6: Final answer
    x = 161.74

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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.