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Finding the Fourth Proportional to 200.75, 277.01 and 117.85

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Solution

The fourth proportional to 200.75, 277.01 and 117.85 is: 162.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    200.75 : 277.01 = 117.85 : x
  2. Step 2: Convert to fraction form
    200.75/277.01 = 117.85/x
  3. Step 3: Cross multiply
    200.75x = 277.01 × 117.85
  4. Step 4: Simplify right side
    200.75x = 32,644.35
  5. Step 5: Solve for x
    x = 32,644.35/200.75
  6. Step 6: Final answer
    x = 162.61

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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.