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Finding the Fourth Proportional to 381.96, 572.34 and 176.16

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Solution

The fourth proportional to 381.96, 572.34 and 176.16 is: 263.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    381.96 : 572.34 = 176.16 : x
  2. Step 2: Convert to fraction form
    381.96/572.34 = 176.16/x
  3. Step 3: Cross multiply
    381.96x = 572.34 × 176.16
  4. Step 4: Simplify right side
    381.96x = 100,823.41
  5. Step 5: Solve for x
    x = 100,823.41/381.96
  6. Step 6: Final answer
    x = 263.96

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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.