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Finding the Fourth Proportional to 253.82, 380.78 and 116.78

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Solution

The fourth proportional to 253.82, 380.78 and 116.78 is: 175.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    253.82 : 380.78 = 116.78 : x
  2. Step 2: Convert to fraction form
    253.82/380.78 = 116.78/x
  3. Step 3: Cross multiply
    253.82x = 380.78 × 116.78
  4. Step 4: Simplify right side
    253.82x = 44,467.49
  5. Step 5: Solve for x
    x = 44,467.49/253.82
  6. Step 6: Final answer
    x = 175.19

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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.