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Finding the Fourth Proportional to 253.90, 380.94 and 109.72

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Solution

The fourth proportional to 253.90, 380.94 and 109.72 is: 164.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    253.90 : 380.94 = 109.72 : x
  2. Step 2: Convert to fraction form
    253.90/380.94 = 109.72/x
  3. Step 3: Cross multiply
    253.90x = 380.94 × 109.72
  4. Step 4: Simplify right side
    253.90x = 41,796.74
  5. Step 5: Solve for x
    x = 41,796.74/253.90
  6. Step 6: Final answer
    x = 164.62

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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.