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Finding the Fourth Proportional to 161.87, 240.80 and 154.58

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Solution

The fourth proportional to 161.87, 240.80 and 154.58 is: 229.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    161.87 : 240.80 = 154.58 : x
  2. Step 2: Convert to fraction form
    161.87/240.80 = 154.58/x
  3. Step 3: Cross multiply
    161.87x = 240.80 × 154.58
  4. Step 4: Simplify right side
    161.87x = 37,220.89
  5. Step 5: Solve for x
    x = 37,220.89/161.87
  6. Step 6: Final answer
    x = 229.95

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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.