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Finding the Fourth Proportional to 173.72, 239.52 and 142.64

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Solution

The fourth proportional to 173.72, 239.52 and 142.64 is: 196.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    173.72 : 239.52 = 142.64 : x
  2. Step 2: Convert to fraction form
    173.72/239.52 = 142.64/x
  3. Step 3: Cross multiply
    173.72x = 239.52 × 142.64
  4. Step 4: Simplify right side
    173.72x = 34,165.13
  5. Step 5: Solve for x
    x = 34,165.13/173.72
  6. Step 6: Final answer
    x = 196.67

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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.