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Finding the Fourth Proportional to 266.46, 399.65 and 120.22

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Solution

The fourth proportional to 266.46, 399.65 and 120.22 is: 180.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    266.46 : 399.65 = 120.22 : x
  2. Step 2: Convert to fraction form
    266.46/399.65 = 120.22/x
  3. Step 3: Cross multiply
    266.46x = 399.65 × 120.22
  4. Step 4: Simplify right side
    266.46x = 48,045.00
  5. Step 5: Solve for x
    x = 48,045.00/266.46
  6. Step 6: Final answer
    x = 180.31

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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.