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Finding the Fourth Proportional to 356.74, 535.22 and 113.26

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Solution

The fourth proportional to 356.74, 535.22 and 113.26 is: 169.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    356.74 : 535.22 = 113.26 : x
  2. Step 2: Convert to fraction form
    356.74/535.22 = 113.26/x
  3. Step 3: Cross multiply
    356.74x = 535.22 × 113.26
  4. Step 4: Simplify right side
    356.74x = 60,618.45
  5. Step 5: Solve for x
    x = 60,618.45/356.74
  6. Step 6: Final answer
    x = 169.92

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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.