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Finding the Fourth Proportional to 200.01, 276.04 and 117.15

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Solution

The fourth proportional to 200.01, 276.04 and 117.15 is: 161.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    200.01 : 276.04 = 117.15 : x
  2. Step 2: Convert to fraction form
    200.01/276.04 = 117.15/x
  3. Step 3: Cross multiply
    200.01x = 276.04 × 117.15
  4. Step 4: Simplify right side
    200.01x = 32,337.79
  5. Step 5: Solve for x
    x = 32,337.79/200.01
  6. Step 6: Final answer
    x = 161.68

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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.