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Finding the Fourth Proportional to 202.02, 302.83 and 64.97

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Solution

The fourth proportional to 202.02, 302.83 and 64.97 is: 97.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    202.02 : 302.83 = 64.97 : x
  2. Step 2: Convert to fraction form
    202.02/302.83 = 64.97/x
  3. Step 3: Cross multiply
    202.02x = 302.83 × 64.97
  4. Step 4: Simplify right side
    202.02x = 19,674.87
  5. Step 5: Solve for x
    x = 19,674.87/202.02
  6. Step 6: Final answer
    x = 97.39

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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.