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Finding the Fourth Proportional to 173.76, 239.24 and 147.48

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Solution

The fourth proportional to 173.76, 239.24 and 147.48 is: 203.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    173.76 : 239.24 = 147.48 : x
  2. Step 2: Convert to fraction form
    173.76/239.24 = 147.48/x
  3. Step 3: Cross multiply
    173.76x = 239.24 × 147.48
  4. Step 4: Simplify right side
    173.76x = 35,282.38
  5. Step 5: Solve for x
    x = 35,282.38/173.76
  6. Step 6: Final answer
    x = 203.05

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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.