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Finding the Fourth Proportional to 209.24, 313.57 and 93.65

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Solution

The fourth proportional to 209.24, 313.57 and 93.65 is: 140.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    209.24 : 313.57 = 93.65 : x
  2. Step 2: Convert to fraction form
    209.24/313.57 = 93.65/x
  3. Step 3: Cross multiply
    209.24x = 313.57 × 93.65
  4. Step 4: Simplify right side
    209.24x = 29,365.83
  5. Step 5: Solve for x
    x = 29,365.83/209.24
  6. Step 6: Final answer
    x = 140.35

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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.