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Finding the Fourth Proportional to 239.46, 360.42 and 213

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Solution

The fourth proportional to 239.46, 360.42 and 213 is: 320.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    239.46 : 360.42 = 213 : x
  2. Step 2: Convert to fraction form
    239.46/360.42 = 213/x
  3. Step 3: Cross multiply
    239.46x = 360.42 × 213
  4. Step 4: Simplify right side
    239.46x = 76,769.46
  5. Step 5: Solve for x
    x = 76,769.46/239.46
  6. Step 6: Final answer
    x = 320.59

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.