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Finding the Fourth Proportional to 178.25, 246.00 and 141.71

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Solution

The fourth proportional to 178.25, 246.00 and 141.71 is: 195.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    178.25 : 246.00 = 141.71 : x
  2. Step 2: Convert to fraction form
    178.25/246.00 = 141.71/x
  3. Step 3: Cross multiply
    178.25x = 246.00 × 141.71
  4. Step 4: Simplify right side
    178.25x = 34,858.72
  5. Step 5: Solve for x
    x = 34,858.72/178.25
  6. Step 6: Final answer
    x = 195.57

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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.