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Finding the Fourth Proportional to 266.20, 398.86 and 256.07

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Solution

The fourth proportional to 266.20, 398.86 and 256.07 is: 383.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    266.20 : 398.86 = 256.07 : x
  2. Step 2: Convert to fraction form
    266.20/398.86 = 256.07/x
  3. Step 3: Cross multiply
    266.20x = 398.86 × 256.07
  4. Step 4: Simplify right side
    266.20x = 102,136.08
  5. Step 5: Solve for x
    x = 102,136.08/266.20
  6. Step 6: Final answer
    x = 383.68

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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.