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Finding the Fourth Proportional to 172.86, 237.84 and 149.48

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Solution

The fourth proportional to 172.86, 237.84 and 149.48 is: 205.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    172.86 : 237.84 = 149.48 : x
  2. Step 2: Convert to fraction form
    172.86/237.84 = 149.48/x
  3. Step 3: Cross multiply
    172.86x = 237.84 × 149.48
  4. Step 4: Simplify right side
    172.86x = 35,551.69
  5. Step 5: Solve for x
    x = 35,551.69/172.86
  6. Step 6: Final answer
    x = 205.66

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.