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Finding the Fourth Proportional to 178.74, 246.53 and 105.03

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Solution

The fourth proportional to 178.74, 246.53 and 105.03 is: 144.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    178.74 : 246.53 = 105.03 : x
  2. Step 2: Convert to fraction form
    178.74/246.53 = 105.03/x
  3. Step 3: Cross multiply
    178.74x = 246.53 × 105.03
  4. Step 4: Simplify right side
    178.74x = 25,893.31
  5. Step 5: Solve for x
    x = 25,893.31/178.74
  6. Step 6: Final answer
    x = 144.87

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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.