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Finding the Fourth Proportional to 266.03, 398.66 and 189.15

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Solution

The fourth proportional to 266.03, 398.66 and 189.15 is: 283.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    266.03 : 398.66 = 189.15 : x
  2. Step 2: Convert to fraction form
    266.03/398.66 = 189.15/x
  3. Step 3: Cross multiply
    266.03x = 398.66 × 189.15
  4. Step 4: Simplify right side
    266.03x = 75,407.01
  5. Step 5: Solve for x
    x = 75,407.01/266.03
  6. Step 6: Final answer
    x = 283.45

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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.