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Finding the Fourth Proportional to 200.66, 276.88 and 117.78

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Solution

The fourth proportional to 200.66, 276.88 and 117.78 is: 162.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    200.66 : 276.88 = 117.78 : x
  2. Step 2: Convert to fraction form
    200.66/276.88 = 117.78/x
  3. Step 3: Cross multiply
    200.66x = 276.88 × 117.78
  4. Step 4: Simplify right side
    200.66x = 32,610.93
  5. Step 5: Solve for x
    x = 32,610.93/200.66
  6. Step 6: Final answer
    x = 162.52

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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.