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Finding the Fourth Proportional to 178.50, 246.32 and 99.82

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Solution

The fourth proportional to 178.50, 246.32 and 99.82 is: 137.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    178.50 : 246.32 = 99.82 : x
  2. Step 2: Convert to fraction form
    178.50/246.32 = 99.82/x
  3. Step 3: Cross multiply
    178.50x = 246.32 × 99.82
  4. Step 4: Simplify right side
    178.50x = 24,588.15
  5. Step 5: Solve for x
    x = 24,588.15/178.50
  6. Step 6: Final answer
    x = 137.75

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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.