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Finding the Fourth Proportional to 183.48, 251.78 and 166.98

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Solution

The fourth proportional to 183.48, 251.78 and 166.98 is: 229.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    183.48 : 251.78 = 166.98 : x
  2. Step 2: Convert to fraction form
    183.48/251.78 = 166.98/x
  3. Step 3: Cross multiply
    183.48x = 251.78 × 166.98
  4. Step 4: Simplify right side
    183.48x = 42,041.39
  5. Step 5: Solve for x
    x = 42,041.39/183.48
  6. Step 6: Final answer
    x = 229.13

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.