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Finding the Fourth Proportional to 183.23, 274.54 and 146.77

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Solution

The fourth proportional to 183.23, 274.54 and 146.77 is: 219.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    183.23 : 274.54 = 146.77 : x
  2. Step 2: Convert to fraction form
    183.23/274.54 = 146.77/x
  3. Step 3: Cross multiply
    183.23x = 274.54 × 146.77
  4. Step 4: Simplify right side
    183.23x = 40,293.50
  5. Step 5: Solve for x
    x = 40,293.50/183.23
  6. Step 6: Final answer
    x = 219.91

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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.