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Finding the Fourth Proportional to 367.24, 550.55 and 172.14

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Solution

The fourth proportional to 367.24, 550.55 and 172.14 is: 258.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    367.24 : 550.55 = 172.14 : x
  2. Step 2: Convert to fraction form
    367.24/550.55 = 172.14/x
  3. Step 3: Cross multiply
    367.24x = 550.55 × 172.14
  4. Step 4: Simplify right side
    367.24x = 94,768.92
  5. Step 5: Solve for x
    x = 94,768.92/367.24
  6. Step 6: Final answer
    x = 258.06

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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.