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Finding the Fourth Proportional to 253.22, 379.71 and 106.87

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Solution

The fourth proportional to 253.22, 379.71 and 106.87 is: 160.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    253.22 : 379.71 = 106.87 : x
  2. Step 2: Convert to fraction form
    253.22/379.71 = 106.87/x
  3. Step 3: Cross multiply
    253.22x = 379.71 × 106.87
  4. Step 4: Simplify right side
    253.22x = 40,579.61
  5. Step 5: Solve for x
    x = 40,579.61/253.22
  6. Step 6: Final answer
    x = 160.25

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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.