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Finding the Fourth Proportional to 209.24, 313.74 and 128.14

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Solution

The fourth proportional to 209.24, 313.74 and 128.14 is: 192.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    209.24 : 313.74 = 128.14 : x
  2. Step 2: Convert to fraction form
    209.24/313.74 = 128.14/x
  3. Step 3: Cross multiply
    209.24x = 313.74 × 128.14
  4. Step 4: Simplify right side
    209.24x = 40,202.64
  5. Step 5: Solve for x
    x = 40,202.64/209.24
  6. Step 6: Final answer
    x = 192.14

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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.