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Finding the Fourth Proportional to 209.72, 314.66 and 107.01

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Solution

The fourth proportional to 209.72, 314.66 and 107.01 is: 160.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    209.72 : 314.66 = 107.01 : x
  2. Step 2: Convert to fraction form
    209.72/314.66 = 107.01/x
  3. Step 3: Cross multiply
    209.72x = 314.66 × 107.01
  4. Step 4: Simplify right side
    209.72x = 33,671.23
  5. Step 5: Solve for x
    x = 33,671.23/209.72
  6. Step 6: Final answer
    x = 160.56

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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.