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Finding the Fourth Proportional to 381.31, 572.10 and 164.86

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Solution

The fourth proportional to 381.31, 572.10 and 164.86 is: 247.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    381.31 : 572.10 = 164.86 : x
  2. Step 2: Convert to fraction form
    381.31/572.10 = 164.86/x
  3. Step 3: Cross multiply
    381.31x = 572.10 × 164.86
  4. Step 4: Simplify right side
    381.31x = 94,316.41
  5. Step 5: Solve for x
    x = 94,316.41/381.31
  6. Step 6: Final answer
    x = 247.35

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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.