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Finding the Fourth Proportional to 253.06, 379.41 and 116.22

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Solution

The fourth proportional to 253.06, 379.41 and 116.22 is: 174.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    253.06 : 379.41 = 116.22 : x
  2. Step 2: Convert to fraction form
    253.06/379.41 = 116.22/x
  3. Step 3: Cross multiply
    253.06x = 379.41 × 116.22
  4. Step 4: Simplify right side
    253.06x = 44,095.03
  5. Step 5: Solve for x
    x = 44,095.03/253.06
  6. Step 6: Final answer
    x = 174.25

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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.