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Finding the Fourth Proportional to 183.54, 274.88 and 151.14

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Solution

The fourth proportional to 183.54, 274.88 and 151.14 is: 226.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    183.54 : 274.88 = 151.14 : x
  2. Step 2: Convert to fraction form
    183.54/274.88 = 151.14/x
  3. Step 3: Cross multiply
    183.54x = 274.88 × 151.14
  4. Step 4: Simplify right side
    183.54x = 41,545.36
  5. Step 5: Solve for x
    x = 41,545.36/183.54
  6. Step 6: Final answer
    x = 226.36

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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.