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Finding the Fourth Proportional to 253.46, 380.28 and 116.54

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Solution

The fourth proportional to 253.46, 380.28 and 116.54 is: 174.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    253.46 : 380.28 = 116.54 : x
  2. Step 2: Convert to fraction form
    253.46/380.28 = 116.54/x
  3. Step 3: Cross multiply
    253.46x = 380.28 × 116.54
  4. Step 4: Simplify right side
    253.46x = 44,317.83
  5. Step 5: Solve for x
    x = 44,317.83/253.46
  6. Step 6: Final answer
    x = 174.85

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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.