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Finding the Fourth Proportional to 173.84, 239.81 and 111.69

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Solution

The fourth proportional to 173.84, 239.81 and 111.69 is: 154.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    173.84 : 239.81 = 111.69 : x
  2. Step 2: Convert to fraction form
    173.84/239.81 = 111.69/x
  3. Step 3: Cross multiply
    173.84x = 239.81 × 111.69
  4. Step 4: Simplify right side
    173.84x = 26,783.82
  5. Step 5: Solve for x
    x = 26,783.82/173.84
  6. Step 6: Final answer
    x = 154.08

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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.