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Finding the Fourth Proportional to 230.06, 345.14 and 114.54

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Solution

The fourth proportional to 230.06, 345.14 and 114.54 is: 171.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    230.06 : 345.14 = 114.54 : x
  2. Step 2: Convert to fraction form
    230.06/345.14 = 114.54/x
  3. Step 3: Cross multiply
    230.06x = 345.14 × 114.54
  4. Step 4: Simplify right side
    230.06x = 39,532.34
  5. Step 5: Solve for x
    x = 39,532.34/230.06
  6. Step 6: Final answer
    x = 171.83

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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.