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Finding the Fourth Proportional to 209.24, 313.40 and 128.16

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Solution

The fourth proportional to 209.24, 313.40 and 128.16 is: 191.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    209.24 : 313.40 = 128.16 : x
  2. Step 2: Convert to fraction form
    209.24/313.40 = 128.16/x
  3. Step 3: Cross multiply
    209.24x = 313.40 × 128.16
  4. Step 4: Simplify right side
    209.24x = 40,165.34
  5. Step 5: Solve for x
    x = 40,165.34/209.24
  6. Step 6: Final answer
    x = 191.96

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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.