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Finding the Fourth Proportional to 253.52, 380.16 and 109.16

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Solution

The fourth proportional to 253.52, 380.16 and 109.16 is: 163.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    253.52 : 380.16 = 109.16 : x
  2. Step 2: Convert to fraction form
    253.52/380.16 = 109.16/x
  3. Step 3: Cross multiply
    253.52x = 380.16 × 109.16
  4. Step 4: Simplify right side
    253.52x = 41,498.27
  5. Step 5: Solve for x
    x = 41,498.27/253.52
  6. Step 6: Final answer
    x = 163.69

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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.