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Finding the Fourth Proportional to 239.90, 331.09 and 152.82

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Solution

The fourth proportional to 239.90, 331.09 and 152.82 is: 210.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    239.90 : 331.09 = 152.82 : x
  2. Step 2: Convert to fraction form
    239.90/331.09 = 152.82/x
  3. Step 3: Cross multiply
    239.90x = 331.09 × 152.82
  4. Step 4: Simplify right side
    239.90x = 50,596.79
  5. Step 5: Solve for x
    x = 50,596.79/239.90
  6. Step 6: Final answer
    x = 210.91

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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.