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Finding the Fourth Proportional to 209.22, 313.71 and 120.16

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Solution

The fourth proportional to 209.22, 313.71 and 120.16 is: 180.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    209.22 : 313.71 = 120.16 : x
  2. Step 2: Convert to fraction form
    209.22/313.71 = 120.16/x
  3. Step 3: Cross multiply
    209.22x = 313.71 × 120.16
  4. Step 4: Simplify right side
    209.22x = 37,695.39
  5. Step 5: Solve for x
    x = 37,695.39/209.22
  6. Step 6: Final answer
    x = 180.17

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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.