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Finding the Fourth Proportional to 173.84, 239.70 and 127.16

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Solution

The fourth proportional to 173.84, 239.70 and 127.16 is: 175.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    173.84 : 239.70 = 127.16 : x
  2. Step 2: Convert to fraction form
    173.84/239.70 = 127.16/x
  3. Step 3: Cross multiply
    173.84x = 239.70 × 127.16
  4. Step 4: Simplify right side
    173.84x = 30,480.25
  5. Step 5: Solve for x
    x = 30,480.25/173.84
  6. Step 6: Final answer
    x = 175.34

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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.