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Finding the Fourth Proportional to 200.38, 276.53 and 117.49

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Solution

The fourth proportional to 200.38, 276.53 and 117.49 is: 162.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    200.38 : 276.53 = 117.49 : x
  2. Step 2: Convert to fraction form
    200.38/276.53 = 117.49/x
  3. Step 3: Cross multiply
    200.38x = 276.53 × 117.49
  4. Step 4: Simplify right side
    200.38x = 32,488.92
  5. Step 5: Solve for x
    x = 32,488.92/200.38
  6. Step 6: Final answer
    x = 162.14

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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.