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Finding the Fourth Proportional to 309.50, 426.99 and 197.51

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Solution

The fourth proportional to 309.50, 426.99 and 197.51 is: 272.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    309.50 : 426.99 = 197.51 : x
  2. Step 2: Convert to fraction form
    309.50/426.99 = 197.51/x
  3. Step 3: Cross multiply
    309.50x = 426.99 × 197.51
  4. Step 4: Simplify right side
    309.50x = 84,334.79
  5. Step 5: Solve for x
    x = 84,334.79/309.50
  6. Step 6: Final answer
    x = 272.49

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.