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Finding the Fourth Proportional to 253.24, 379.56 and 106.84

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Solution

The fourth proportional to 253.24, 379.56 and 106.84 is: 160.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    253.24 : 379.56 = 106.84 : x
  2. Step 2: Convert to fraction form
    253.24/379.56 = 106.84/x
  3. Step 3: Cross multiply
    253.24x = 379.56 × 106.84
  4. Step 4: Simplify right side
    253.24x = 40,552.19
  5. Step 5: Solve for x
    x = 40,552.19/253.24
  6. Step 6: Final answer
    x = 160.13

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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.