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Finding the Fourth Proportional to 209.56, 314.36 and 65.30

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Solution

The fourth proportional to 209.56, 314.36 and 65.30 is: 97.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    209.56 : 314.36 = 65.30 : x
  2. Step 2: Convert to fraction form
    209.56/314.36 = 65.30/x
  3. Step 3: Cross multiply
    209.56x = 314.36 × 65.30
  4. Step 4: Simplify right side
    209.56x = 20,527.71
  5. Step 5: Solve for x
    x = 20,527.71/209.56
  6. Step 6: Final answer
    x = 97.96

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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.