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Finding the Fourth Proportional to 266.92, 401.05 and 256.12

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Solution

The fourth proportional to 266.92, 401.05 and 256.12 is: 384.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    266.92 : 401.05 = 256.12 : x
  2. Step 2: Convert to fraction form
    266.92/401.05 = 256.12/x
  3. Step 3: Cross multiply
    266.92x = 401.05 × 256.12
  4. Step 4: Simplify right side
    266.92x = 102,714.92
  5. Step 5: Solve for x
    x = 102,714.92/266.92
  6. Step 6: Final answer
    x = 384.82

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.