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Finding the Fourth Proportional to 266.32, 398.67 and 205.17

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Solution

The fourth proportional to 266.32, 398.67 and 205.17 is: 307.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    266.32 : 398.67 = 205.17 : x
  2. Step 2: Convert to fraction form
    266.32/398.67 = 205.17/x
  3. Step 3: Cross multiply
    266.32x = 398.67 × 205.17
  4. Step 4: Simplify right side
    266.32x = 81,795.12
  5. Step 5: Solve for x
    x = 81,795.12/266.32
  6. Step 6: Final answer
    x = 307.13

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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.