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Finding the Fourth Proportional to 172.50, 238.01 and 102.51

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Solution

The fourth proportional to 172.50, 238.01 and 102.51 is: 141.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    172.50 : 238.01 = 102.51 : x
  2. Step 2: Convert to fraction form
    172.50/238.01 = 102.51/x
  3. Step 3: Cross multiply
    172.50x = 238.01 × 102.51
  4. Step 4: Simplify right side
    172.50x = 24,398.41
  5. Step 5: Solve for x
    x = 24,398.41/172.50
  6. Step 6: Final answer
    x = 141.44

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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.