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Finding the Fourth Proportional to 581.50, 872.25 and 196.75

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Solution

The fourth proportional to 581.50, 872.25 and 196.75 is: 295.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    581.50 : 872.25 = 196.75 : x
  2. Step 2: Convert to fraction form
    581.50/872.25 = 196.75/x
  3. Step 3: Cross multiply
    581.50x = 872.25 × 196.75
  4. Step 4: Simplify right side
    581.50x = 171,615.19
  5. Step 5: Solve for x
    x = 171,615.19/581.50
  6. Step 6: Final answer
    x = 295.13

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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.