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Finding the Fourth Proportional to 266.48, 400.65 and 215.49

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Solution

The fourth proportional to 266.48, 400.65 and 215.49 is: 323.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    266.48 : 400.65 = 215.49 : x
  2. Step 2: Convert to fraction form
    266.48/400.65 = 215.49/x
  3. Step 3: Cross multiply
    266.48x = 400.65 × 215.49
  4. Step 4: Simplify right side
    266.48x = 86,333.38
  5. Step 5: Solve for x
    x = 86,333.38/266.48
  6. Step 6: Final answer
    x = 323.98

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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.