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Finding the Fourth Proportional to 266.78, 400.10 and 135.07

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Solution

The fourth proportional to 266.78, 400.10 and 135.07 is: 202.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    266.78 : 400.10 = 135.07 : x
  2. Step 2: Convert to fraction form
    266.78/400.10 = 135.07/x
  3. Step 3: Cross multiply
    266.78x = 400.10 × 135.07
  4. Step 4: Simplify right side
    266.78x = 54,039.83
  5. Step 5: Solve for x
    x = 54,039.83/266.78
  6. Step 6: Final answer
    x = 202.56

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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.