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Finding the Fourth Proportional to 202.16, 303.04 and 65.12

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Solution

The fourth proportional to 202.16, 303.04 and 65.12 is: 97.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    202.16 : 303.04 = 65.12 : x
  2. Step 2: Convert to fraction form
    202.16/303.04 = 65.12/x
  3. Step 3: Cross multiply
    202.16x = 303.04 × 65.12
  4. Step 4: Simplify right side
    202.16x = 19,732.45
  5. Step 5: Solve for x
    x = 19,732.45/202.16
  6. Step 6: Final answer
    x = 97.61

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.