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Finding the Fourth Proportional to 209.51, 314.27 and 65.23

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Solution

The fourth proportional to 209.51, 314.27 and 65.23 is: 97.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    209.51 : 314.27 = 65.23 : x
  2. Step 2: Convert to fraction form
    209.51/314.27 = 65.23/x
  3. Step 3: Cross multiply
    209.51x = 314.27 × 65.23
  4. Step 4: Simplify right side
    209.51x = 20,499.83
  5. Step 5: Solve for x
    x = 20,499.83/209.51
  6. Step 6: Final answer
    x = 97.85

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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.