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Finding the Fourth Proportional to 172.88, 238.64 and 114.80

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Solution

The fourth proportional to 172.88, 238.64 and 114.80 is: 158.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    172.88 : 238.64 = 114.80 : x
  2. Step 2: Convert to fraction form
    172.88/238.64 = 114.80/x
  3. Step 3: Cross multiply
    172.88x = 238.64 × 114.80
  4. Step 4: Simplify right side
    172.88x = 27,395.87
  5. Step 5: Solve for x
    x = 27,395.87/172.88
  6. Step 6: Final answer
    x = 158.47

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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.