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Finding the Fourth Proportional to 173.96, 239.46 and 152.80

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Solution

The fourth proportional to 173.96, 239.46 and 152.80 is: 210.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    173.96 : 239.46 = 152.80 : x
  2. Step 2: Convert to fraction form
    173.96/239.46 = 152.80/x
  3. Step 3: Cross multiply
    173.96x = 239.46 × 152.80
  4. Step 4: Simplify right side
    173.96x = 36,589.49
  5. Step 5: Solve for x
    x = 36,589.49/173.96
  6. Step 6: Final answer
    x = 210.33

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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.