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Finding the Fourth Proportional to 173.70, 239.22 and 157.50

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Solution

The fourth proportional to 173.70, 239.22 and 157.50 is: 216.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    173.70 : 239.22 = 157.50 : x
  2. Step 2: Convert to fraction form
    173.70/239.22 = 157.50/x
  3. Step 3: Cross multiply
    173.70x = 239.22 × 157.50
  4. Step 4: Simplify right side
    173.70x = 37,677.15
  5. Step 5: Solve for x
    x = 37,677.15/173.70
  6. Step 6: Final answer
    x = 216.91

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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.