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Finding the Fourth Proportional to 266.24, 400.32 and 202.40

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Solution

The fourth proportional to 266.24, 400.32 and 202.40 is: 304.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    266.24 : 400.32 = 202.40 : x
  2. Step 2: Convert to fraction form
    266.24/400.32 = 202.40/x
  3. Step 3: Cross multiply
    266.24x = 400.32 × 202.40
  4. Step 4: Simplify right side
    266.24x = 81,024.77
  5. Step 5: Solve for x
    x = 81,024.77/266.24
  6. Step 6: Final answer
    x = 304.33

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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.