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Finding the Fourth Proportional to 183.52, 276.37 and 159.76

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Solution

The fourth proportional to 183.52, 276.37 and 159.76 is: 240.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    183.52 : 276.37 = 159.76 : x
  2. Step 2: Convert to fraction form
    183.52/276.37 = 159.76/x
  3. Step 3: Cross multiply
    183.52x = 276.37 × 159.76
  4. Step 4: Simplify right side
    183.52x = 44,152.87
  5. Step 5: Solve for x
    x = 44,152.87/183.52
  6. Step 6: Final answer
    x = 240.59

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.