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Finding the Fourth Proportional to 253.19, 379.77 and 114.49

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Solution

The fourth proportional to 253.19, 379.77 and 114.49 is: 171.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    253.19 : 379.77 = 114.49 : x
  2. Step 2: Convert to fraction form
    253.19/379.77 = 114.49/x
  3. Step 3: Cross multiply
    253.19x = 379.77 × 114.49
  4. Step 4: Simplify right side
    253.19x = 43,479.87
  5. Step 5: Solve for x
    x = 43,479.87/253.19
  6. Step 6: Final answer
    x = 171.73

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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.