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Finding the Fourth Proportional to 266.80, 400.08 and 102.24

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Solution

The fourth proportional to 266.80, 400.08 and 102.24 is: 153.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    266.80 : 400.08 = 102.24 : x
  2. Step 2: Convert to fraction form
    266.80/400.08 = 102.24/x
  3. Step 3: Cross multiply
    266.80x = 400.08 × 102.24
  4. Step 4: Simplify right side
    266.80x = 40,904.18
  5. Step 5: Solve for x
    x = 40,904.18/266.80
  6. Step 6: Final answer
    x = 153.31

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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.