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Finding the Fourth Proportional to 356.57, 533.95 and 226.17

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Solution

The fourth proportional to 356.57, 533.95 and 226.17 is: 338.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    356.57 : 533.95 = 226.17 : x
  2. Step 2: Convert to fraction form
    356.57/533.95 = 226.17/x
  3. Step 3: Cross multiply
    356.57x = 533.95 × 226.17
  4. Step 4: Simplify right side
    356.57x = 120,763.47
  5. Step 5: Solve for x
    x = 120,763.47/356.57
  6. Step 6: Final answer
    x = 338.69

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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.