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Finding the Fourth Proportional to 381.65, 572.67 and 176.20

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Solution

The fourth proportional to 381.65, 572.67 and 176.20 is: 264.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    381.65 : 572.67 = 176.20 : x
  2. Step 2: Convert to fraction form
    381.65/572.67 = 176.20/x
  3. Step 3: Cross multiply
    381.65x = 572.67 × 176.20
  4. Step 4: Simplify right side
    381.65x = 100,903.02
  5. Step 5: Solve for x
    x = 100,903.02/381.65
  6. Step 6: Final answer
    x = 264.39

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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.