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Finding the Fourth Proportional to 266.18, 398.26 and 189.32

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Solution

The fourth proportional to 266.18, 398.26 and 189.32 is: 283.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    266.18 : 398.26 = 189.32 : x
  2. Step 2: Convert to fraction form
    266.18/398.26 = 189.32/x
  3. Step 3: Cross multiply
    266.18x = 398.26 × 189.32
  4. Step 4: Simplify right side
    266.18x = 75,397.64
  5. Step 5: Solve for x
    x = 75,397.64/266.18
  6. Step 6: Final answer
    x = 283.26

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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.