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Finding the Fourth Proportional to 239.88, 331.24 and 152.40

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Solution

The fourth proportional to 239.88, 331.24 and 152.40 is: 210.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    239.88 : 331.24 = 152.40 : x
  2. Step 2: Convert to fraction form
    239.88/331.24 = 152.40/x
  3. Step 3: Cross multiply
    239.88x = 331.24 × 152.40
  4. Step 4: Simplify right side
    239.88x = 50,480.98
  5. Step 5: Solve for x
    x = 50,480.98/239.88
  6. Step 6: Final answer
    x = 210.44

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.