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Finding the Fourth Proportional to 253.06, 379.65 and 79.76

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Solution

The fourth proportional to 253.06, 379.65 and 79.76 is: 119.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    253.06 : 379.65 = 79.76 : x
  2. Step 2: Convert to fraction form
    253.06/379.65 = 79.76/x
  3. Step 3: Cross multiply
    253.06x = 379.65 × 79.76
  4. Step 4: Simplify right side
    253.06x = 30,279.74
  5. Step 5: Solve for x
    x = 30,279.74/253.06
  6. Step 6: Final answer
    x = 119.65

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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.