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Finding the Fourth Proportional to 200.75, 276.98 and 117.83

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Solution

The fourth proportional to 200.75, 276.98 and 117.83 is: 162.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    200.75 : 276.98 = 117.83 : x
  2. Step 2: Convert to fraction form
    200.75/276.98 = 117.83/x
  3. Step 3: Cross multiply
    200.75x = 276.98 × 117.83
  4. Step 4: Simplify right side
    200.75x = 32,636.66
  5. Step 5: Solve for x
    x = 32,636.66/200.75
  6. Step 6: Final answer
    x = 162.58

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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.