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Finding the Fourth Proportional to 253.69, 380.54 and 109.42

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Solution

The fourth proportional to 253.69, 380.54 and 109.42 is: 164.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    253.69 : 380.54 = 109.42 : x
  2. Step 2: Convert to fraction form
    253.69/380.54 = 109.42/x
  3. Step 3: Cross multiply
    253.69x = 380.54 × 109.42
  4. Step 4: Simplify right side
    253.69x = 41,638.01
  5. Step 5: Solve for x
    x = 41,638.01/253.69
  6. Step 6: Final answer
    x = 164.13

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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.