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Finding the Fourth Proportional to 266.60, 400.80 and 213.08

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Solution

The fourth proportional to 266.60, 400.80 and 213.08 is: 320.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    266.60 : 400.80 = 213.08 : x
  2. Step 2: Convert to fraction form
    266.60/400.80 = 213.08/x
  3. Step 3: Cross multiply
    266.60x = 400.80 × 213.08
  4. Step 4: Simplify right side
    266.60x = 85,402.46
  5. Step 5: Solve for x
    x = 85,402.46/266.60
  6. Step 6: Final answer
    x = 320.34

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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.