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Finding the Fourth Proportional to 266.88, 399.84 and 180

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Solution

The fourth proportional to 266.88, 399.84 and 180 is: 269.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    266.88 : 399.84 = 180 : x
  2. Step 2: Convert to fraction form
    266.88/399.84 = 180/x
  3. Step 3: Cross multiply
    266.88x = 399.84 × 180
  4. Step 4: Simplify right side
    266.88x = 71,971.20
  5. Step 5: Solve for x
    x = 71,971.20/266.88
  6. Step 6: Final answer
    x = 269.68

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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.