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Finding the Fourth Proportional to 581.06, 871.32 and 196.22

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Solution

The fourth proportional to 581.06, 871.32 and 196.22 is: 294.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    581.06 : 871.32 = 196.22 : x
  2. Step 2: Convert to fraction form
    581.06/871.32 = 196.22/x
  3. Step 3: Cross multiply
    581.06x = 871.32 × 196.22
  4. Step 4: Simplify right side
    581.06x = 170,970.41
  5. Step 5: Solve for x
    x = 170,970.41/581.06
  6. Step 6: Final answer
    x = 294.24

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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.