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Finding the Fourth Proportional to 209.77, 314.73 and 107.08

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Solution

The fourth proportional to 209.77, 314.73 and 107.08 is: 160.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    209.77 : 314.73 = 107.08 : x
  2. Step 2: Convert to fraction form
    209.77/314.73 = 107.08/x
  3. Step 3: Cross multiply
    209.77x = 314.73 × 107.08
  4. Step 4: Simplify right side
    209.77x = 33,701.29
  5. Step 5: Solve for x
    x = 33,701.29/209.77
  6. Step 6: Final answer
    x = 160.66

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.