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Finding the Fourth Proportional to 200.14, 276.21 and 117.24

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Solution

The fourth proportional to 200.14, 276.21 and 117.24 is: 161.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    200.14 : 276.21 = 117.24 : x
  2. Step 2: Convert to fraction form
    200.14/276.21 = 117.24/x
  3. Step 3: Cross multiply
    200.14x = 276.21 × 117.24
  4. Step 4: Simplify right side
    200.14x = 32,382.86
  5. Step 5: Solve for x
    x = 32,382.86/200.14
  6. Step 6: Final answer
    x = 161.80

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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.