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Finding the Fourth Proportional to 581.92, 872.89 and 149.06

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Solution

The fourth proportional to 581.92, 872.89 and 149.06 is: 223.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    581.92 : 872.89 = 149.06 : x
  2. Step 2: Convert to fraction form
    581.92/872.89 = 149.06/x
  3. Step 3: Cross multiply
    581.92x = 872.89 × 149.06
  4. Step 4: Simplify right side
    581.92x = 130,114.79
  5. Step 5: Solve for x
    x = 130,114.79/581.92
  6. Step 6: Final answer
    x = 223.60

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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.