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Finding the Fourth Proportional to 178.68, 246.53 and 104.98

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Solution

The fourth proportional to 178.68, 246.53 and 104.98 is: 144.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    178.68 : 246.53 = 104.98 : x
  2. Step 2: Convert to fraction form
    178.68/246.53 = 104.98/x
  3. Step 3: Cross multiply
    178.68x = 246.53 × 104.98
  4. Step 4: Simplify right side
    178.68x = 25,881.72
  5. Step 5: Solve for x
    x = 25,881.72/178.68
  6. Step 6: Final answer
    x = 144.85

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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.