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Finding the Fourth Proportional to 266.49, 399.72 and 71.46

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Solution

The fourth proportional to 266.49, 399.72 and 71.46 is: 107.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    266.49 : 399.72 = 71.46 : x
  2. Step 2: Convert to fraction form
    266.49/399.72 = 71.46/x
  3. Step 3: Cross multiply
    266.49x = 399.72 × 71.46
  4. Step 4: Simplify right side
    266.49x = 28,563.99
  5. Step 5: Solve for x
    x = 28,563.99/266.49
  6. Step 6: Final answer
    x = 107.19

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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.