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Finding the Fourth Proportional to 266.49, 399.75 and 112.43

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Solution

The fourth proportional to 266.49, 399.75 and 112.43 is: 168.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    266.49 : 399.75 = 112.43 : x
  2. Step 2: Convert to fraction form
    266.49/399.75 = 112.43/x
  3. Step 3: Cross multiply
    266.49x = 399.75 × 112.43
  4. Step 4: Simplify right side
    266.49x = 44,941.89
  5. Step 5: Solve for x
    x = 44,941.89/266.49
  6. Step 6: Final answer
    x = 168.64

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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.