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Finding the Fourth Proportional to 388.97, 583.60 and 183.66

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Solution

The fourth proportional to 388.97, 583.60 and 183.66 is: 275.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    388.97 : 583.60 = 183.66 : x
  2. Step 2: Convert to fraction form
    388.97/583.60 = 183.66/x
  3. Step 3: Cross multiply
    388.97x = 583.60 × 183.66
  4. Step 4: Simplify right side
    388.97x = 107,183.98
  5. Step 5: Solve for x
    x = 107,183.98/388.97
  6. Step 6: Final answer
    x = 275.56

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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.