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Finding the Fourth Proportional to 266.24, 398.90 and 189.06

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Solution

The fourth proportional to 266.24, 398.90 and 189.06 is: 283.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    266.24 : 398.90 = 189.06 : x
  2. Step 2: Convert to fraction form
    266.24/398.90 = 189.06/x
  3. Step 3: Cross multiply
    266.24x = 398.90 × 189.06
  4. Step 4: Simplify right side
    266.24x = 75,416.03
  5. Step 5: Solve for x
    x = 75,416.03/266.24
  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.