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Finding the Fourth Proportional to 156.92, 233.82 and 149.94

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Solution

The fourth proportional to 156.92, 233.82 and 149.94 is: 223.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    156.92 : 233.82 = 149.94 : x
  2. Step 2: Convert to fraction form
    156.92/233.82 = 149.94/x
  3. Step 3: Cross multiply
    156.92x = 233.82 × 149.94
  4. Step 4: Simplify right side
    156.92x = 35,058.80
  5. Step 5: Solve for x
    x = 35,058.80/156.92
  6. Step 6: Final answer
    x = 223.41

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.