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Finding the Fourth Proportional to 172.18, 257.84 and 99.82

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Solution

The fourth proportional to 172.18, 257.84 and 99.82 is: 149.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    172.18 : 257.84 = 99.82 : x
  2. Step 2: Convert to fraction form
    172.18/257.84 = 99.82/x
  3. Step 3: Cross multiply
    172.18x = 257.84 × 99.82
  4. Step 4: Simplify right side
    172.18x = 25,737.59
  5. Step 5: Solve for x
    x = 25,737.59/172.18
  6. Step 6: Final answer
    x = 149.48

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.