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Finding the Fourth Proportional to 209.33, 313.97 and 65.01

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Solution

The fourth proportional to 209.33, 313.97 and 65.01 is: 97.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    209.33 : 313.97 = 65.01 : x
  2. Step 2: Convert to fraction form
    209.33/313.97 = 65.01/x
  3. Step 3: Cross multiply
    209.33x = 313.97 × 65.01
  4. Step 4: Simplify right side
    209.33x = 20,411.19
  5. Step 5: Solve for x
    x = 20,411.19/209.33
  6. Step 6: Final answer
    x = 97.51

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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.