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Finding the Fourth Proportional to 253.78, 380.66 and 116.78

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Solution

The fourth proportional to 253.78, 380.66 and 116.78 is: 175.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    253.78 : 380.66 = 116.78 : x
  2. Step 2: Convert to fraction form
    253.78/380.66 = 116.78/x
  3. Step 3: Cross multiply
    253.78x = 380.66 × 116.78
  4. Step 4: Simplify right side
    253.78x = 44,452.89
  5. Step 5: Solve for x
    x = 44,452.89/253.78
  6. Step 6: Final answer
    x = 175.17

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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.