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Finding the Fourth Proportional to 581.87, 872.99 and 192.16

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Solution

The fourth proportional to 581.87, 872.99 and 192.16 is: 288.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    581.87 : 872.99 = 192.16 : x
  2. Step 2: Convert to fraction form
    581.87/872.99 = 192.16/x
  3. Step 3: Cross multiply
    581.87x = 872.99 × 192.16
  4. Step 4: Simplify right side
    581.87x = 167,750.78
  5. Step 5: Solve for x
    x = 167,750.78/581.87
  6. Step 6: Final answer
    x = 288.29

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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.