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Finding the Fourth Proportional to 178.75, 246.71 and 105.09

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Solution

The fourth proportional to 178.75, 246.71 and 105.09 is: 145.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    178.75 : 246.71 = 105.09 : x
  2. Step 2: Convert to fraction form
    178.75/246.71 = 105.09/x
  3. Step 3: Cross multiply
    178.75x = 246.71 × 105.09
  4. Step 4: Simplify right side
    178.75x = 25,926.75
  5. Step 5: Solve for x
    x = 25,926.75/178.75
  6. Step 6: Final answer
    x = 145.04

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.