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Finding the Fourth Proportional to 266.99, 400.42 and 102.40

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Solution

The fourth proportional to 266.99, 400.42 and 102.40 is: 153.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    266.99 : 400.42 = 102.40 : x
  2. Step 2: Convert to fraction form
    266.99/400.42 = 102.40/x
  3. Step 3: Cross multiply
    266.99x = 400.42 × 102.40
  4. Step 4: Simplify right side
    266.99x = 41,003.26
  5. Step 5: Solve for x
    x = 41,003.26/266.99
  6. Step 6: Final answer
    x = 153.58

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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.