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Finding the Fourth Proportional to 173.65, 239.02 and 157.25

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Solution

The fourth proportional to 173.65, 239.02 and 157.25 is: 216.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    173.65 : 239.02 = 157.25 : x
  2. Step 2: Convert to fraction form
    173.65/239.02 = 157.25/x
  3. Step 3: Cross multiply
    173.65x = 239.02 × 157.25
  4. Step 4: Simplify right side
    173.65x = 37,584.70
  5. Step 5: Solve for x
    x = 37,584.70/173.65
  6. Step 6: Final answer
    x = 216.45

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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.