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Finding the Fourth Proportional to 202.81, 304.24 and 65.83

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Solution

The fourth proportional to 202.81, 304.24 and 65.83 is: 98.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    202.81 : 304.24 = 65.83 : x
  2. Step 2: Convert to fraction form
    202.81/304.24 = 65.83/x
  3. Step 3: Cross multiply
    202.81x = 304.24 × 65.83
  4. Step 4: Simplify right side
    202.81x = 20,027.89
  5. Step 5: Solve for x
    x = 20,027.89/202.81
  6. Step 6: Final answer
    x = 98.75

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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.