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Finding the Fourth Proportional to 266.68, 399.30 and 180.14

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Solution

The fourth proportional to 266.68, 399.30 and 180.14 is: 269.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    266.68 : 399.30 = 180.14 : x
  2. Step 2: Convert to fraction form
    266.68/399.30 = 180.14/x
  3. Step 3: Cross multiply
    266.68x = 399.30 × 180.14
  4. Step 4: Simplify right side
    266.68x = 71,929.90
  5. Step 5: Solve for x
    x = 71,929.90/266.68
  6. Step 6: Final answer
    x = 269.72

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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.