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Finding the Fourth Proportional to 161.35, 240.74 and 149.56

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Solution

The fourth proportional to 161.35, 240.74 and 149.56 is: 223.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    161.35 : 240.74 = 149.56 : x
  2. Step 2: Convert to fraction form
    161.35/240.74 = 149.56/x
  3. Step 3: Cross multiply
    161.35x = 240.74 × 149.56
  4. Step 4: Simplify right side
    161.35x = 36,005.07
  5. Step 5: Solve for x
    x = 36,005.07/161.35
  6. Step 6: Final answer
    x = 223.15

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Why These Related Problems?

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