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Finding the Fourth Proportional to 354.23, 531.42 and 110.78

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Solution

The fourth proportional to 354.23, 531.42 and 110.78 is: 166.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    354.23 : 531.42 = 110.78 : x
  2. Step 2: Convert to fraction form
    354.23/531.42 = 110.78/x
  3. Step 3: Cross multiply
    354.23x = 531.42 × 110.78
  4. Step 4: Simplify right side
    354.23x = 58,870.71
  5. Step 5: Solve for x
    x = 58,870.71/354.23
  6. Step 6: Final answer
    x = 166.19

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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.