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Finding the Fourth Proportional to 367.45, 551.01 and 161.93

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Solution

The fourth proportional to 367.45, 551.01 and 161.93 is: 242.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    367.45 : 551.01 = 161.93 : x
  2. Step 2: Convert to fraction form
    367.45/551.01 = 161.93/x
  3. Step 3: Cross multiply
    367.45x = 551.01 × 161.93
  4. Step 4: Simplify right side
    367.45x = 89,225.05
  5. Step 5: Solve for x
    x = 89,225.05/367.45
  6. Step 6: Final answer
    x = 242.82

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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.