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Finding the Fourth Proportional to 202.09, 303.10 and 65.14

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Solution

The fourth proportional to 202.09, 303.10 and 65.14 is: 97.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    202.09 : 303.10 = 65.14 : x
  2. Step 2: Convert to fraction form
    202.09/303.10 = 65.14/x
  3. Step 3: Cross multiply
    202.09x = 303.10 × 65.14
  4. Step 4: Simplify right side
    202.09x = 19,742.09
  5. Step 5: Solve for x
    x = 19,742.09/202.09
  6. Step 6: Final answer
    x = 97.69

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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.