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Finding the Fourth Proportional to 230.54, 345.03 and 143.93

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Solution

The fourth proportional to 230.54, 345.03 and 143.93 is: 215.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    230.54 : 345.03 = 143.93 : x
  2. Step 2: Convert to fraction form
    230.54/345.03 = 143.93/x
  3. Step 3: Cross multiply
    230.54x = 345.03 × 143.93
  4. Step 4: Simplify right side
    230.54x = 49,658.44
  5. Step 5: Solve for x
    x = 49,658.44/230.54
  6. Step 6: Final answer
    x = 215.41

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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.