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Finding the Fourth Proportional to 209.93, 314.82 and 94.37

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Solution

The fourth proportional to 209.93, 314.82 and 94.37 is: 141.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    209.93 : 314.82 = 94.37 : x
  2. Step 2: Convert to fraction form
    209.93/314.82 = 94.37/x
  3. Step 3: Cross multiply
    209.93x = 314.82 × 94.37
  4. Step 4: Simplify right side
    209.93x = 29,707.99
  5. Step 5: Solve for x
    x = 29,707.99/209.93
  6. Step 6: Final answer
    x = 141.52

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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.