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Finding the Fourth Proportional to 209.91, 314.67 and 123.33

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Solution

The fourth proportional to 209.91, 314.67 and 123.33 is: 184.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    209.91 : 314.67 = 123.33 : x
  2. Step 2: Convert to fraction form
    209.91/314.67 = 123.33/x
  3. Step 3: Cross multiply
    209.91x = 314.67 × 123.33
  4. Step 4: Simplify right side
    209.91x = 38,808.25
  5. Step 5: Solve for x
    x = 38,808.25/209.91
  6. Step 6: Final answer
    x = 184.88

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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.