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Finding the Fourth Proportional to 200.02, 276.02 and 117.15

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Solution

The fourth proportional to 200.02, 276.02 and 117.15 is: 161.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    200.02 : 276.02 = 117.15 : x
  2. Step 2: Convert to fraction form
    200.02/276.02 = 117.15/x
  3. Step 3: Cross multiply
    200.02x = 276.02 × 117.15
  4. Step 4: Simplify right side
    200.02x = 32,335.16
  5. Step 5: Solve for x
    x = 32,335.16/200.02
  6. Step 6: Final answer
    x = 161.66

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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.