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Finding the Fourth Proportional to 266.25, 399.10 and 129.01

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Solution

The fourth proportional to 266.25, 399.10 and 129.01 is: 193.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    266.25 : 399.10 = 129.01 : x
  2. Step 2: Convert to fraction form
    266.25/399.10 = 129.01/x
  3. Step 3: Cross multiply
    266.25x = 399.10 × 129.01
  4. Step 4: Simplify right side
    266.25x = 51,487.89
  5. Step 5: Solve for x
    x = 51,487.89/266.25
  6. Step 6: Final answer
    x = 193.38

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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.