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Finding the Fourth Proportional to 230.50, 345.82 and 116.50

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Solution

The fourth proportional to 230.50, 345.82 and 116.50 is: 174.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    230.50 : 345.82 = 116.50 : x
  2. Step 2: Convert to fraction form
    230.50/345.82 = 116.50/x
  3. Step 3: Cross multiply
    230.50x = 345.82 × 116.50
  4. Step 4: Simplify right side
    230.50x = 40,288.03
  5. Step 5: Solve for x
    x = 40,288.03/230.50
  6. Step 6: Final answer
    x = 174.79

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.