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Finding the Fourth Proportional to 183.02, 276.02 and 159.13

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Solution

The fourth proportional to 183.02, 276.02 and 159.13 is: 239.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    183.02 : 276.02 = 159.13 : x
  2. Step 2: Convert to fraction form
    183.02/276.02 = 159.13/x
  3. Step 3: Cross multiply
    183.02x = 276.02 × 159.13
  4. Step 4: Simplify right side
    183.02x = 43,921.68
  5. Step 5: Solve for x
    x = 43,921.68/183.02
  6. Step 6: Final answer
    x = 239.98

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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.