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Finding the Fourth Proportional to 253.74, 380.74 and 109.46

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Solution

The fourth proportional to 253.74, 380.74 and 109.46 is: 164.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    253.74 : 380.74 = 109.46 : x
  2. Step 2: Convert to fraction form
    253.74/380.74 = 109.46/x
  3. Step 3: Cross multiply
    253.74x = 380.74 × 109.46
  4. Step 4: Simplify right side
    253.74x = 41,675.80
  5. Step 5: Solve for x
    x = 41,675.80/253.74
  6. Step 6: Final answer
    x = 164.25

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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.