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Finding the Fourth Proportional to 202.29, 278.83 and 184.87

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Solution

The fourth proportional to 202.29, 278.83 and 184.87 is: 254.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    202.29 : 278.83 = 184.87 : x
  2. Step 2: Convert to fraction form
    202.29/278.83 = 184.87/x
  3. Step 3: Cross multiply
    202.29x = 278.83 × 184.87
  4. Step 4: Simplify right side
    202.29x = 51,546.31
  5. Step 5: Solve for x
    x = 51,546.31/202.29
  6. Step 6: Final answer
    x = 254.81

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.