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Finding the Fourth Proportional to 209.51, 314.29 and 65.19

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Solution

The fourth proportional to 209.51, 314.29 and 65.19 is: 97.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    209.51 : 314.29 = 65.19 : x
  2. Step 2: Convert to fraction form
    209.51/314.29 = 65.19/x
  3. Step 3: Cross multiply
    209.51x = 314.29 × 65.19
  4. Step 4: Simplify right side
    209.51x = 20,488.57
  5. Step 5: Solve for x
    x = 20,488.57/209.51
  6. Step 6: Final answer
    x = 97.80

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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.