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Finding the Fourth Proportional to 172.61, 238.27 and 114.41

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Solution

The fourth proportional to 172.61, 238.27 and 114.41 is: 157.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    172.61 : 238.27 = 114.41 : x
  2. Step 2: Convert to fraction form
    172.61/238.27 = 114.41/x
  3. Step 3: Cross multiply
    172.61x = 238.27 × 114.41
  4. Step 4: Simplify right side
    172.61x = 27,261.36
  5. Step 5: Solve for x
    x = 27,261.36/172.61
  6. Step 6: Final answer
    x = 157.93

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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.