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Finding the Fourth Proportional to 266.98, 399.92 and 130.14

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Solution

The fourth proportional to 266.98, 399.92 and 130.14 is: 194.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    266.98 : 399.92 = 130.14 : x
  2. Step 2: Convert to fraction form
    266.98/399.92 = 130.14/x
  3. Step 3: Cross multiply
    266.98x = 399.92 × 130.14
  4. Step 4: Simplify right side
    266.98x = 52,045.59
  5. Step 5: Solve for x
    x = 52,045.59/266.98
  6. Step 6: Final answer
    x = 194.94

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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.