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Finding the Fourth Proportional to 209.97, 314.66 and 123.12

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Solution

The fourth proportional to 209.97, 314.66 and 123.12 is: 184.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    209.97 : 314.66 = 123.12 : x
  2. Step 2: Convert to fraction form
    209.97/314.66 = 123.12/x
  3. Step 3: Cross multiply
    209.97x = 314.66 × 123.12
  4. Step 4: Simplify right side
    209.97x = 38,740.94
  5. Step 5: Solve for x
    x = 38,740.94/209.97
  6. Step 6: Final answer
    x = 184.51

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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.