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Finding the Fourth Proportional to 266.25, 398.92 and 188.83

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Solution

The fourth proportional to 266.25, 398.92 and 188.83 is: 282.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    266.25 : 398.92 = 188.83 : x
  2. Step 2: Convert to fraction form
    266.25/398.92 = 188.83/x
  3. Step 3: Cross multiply
    266.25x = 398.92 × 188.83
  4. Step 4: Simplify right side
    266.25x = 75,328.06
  5. Step 5: Solve for x
    x = 75,328.06/266.25
  6. Step 6: Final answer
    x = 282.92

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.