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Finding the Fourth Proportional to 202.34, 303.36 and 65.34

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Solution

The fourth proportional to 202.34, 303.36 and 65.34 is: 97.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    202.34 : 303.36 = 65.34 : x
  2. Step 2: Convert to fraction form
    202.34/303.36 = 65.34/x
  3. Step 3: Cross multiply
    202.34x = 303.36 × 65.34
  4. Step 4: Simplify right side
    202.34x = 19,821.54
  5. Step 5: Solve for x
    x = 19,821.54/202.34
  6. Step 6: Final answer
    x = 97.96

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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.