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Finding the Fourth Proportional to 259.48, 390.61 and 199.36

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Solution

The fourth proportional to 259.48, 390.61 and 199.36 is: 300.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    259.48 : 390.61 = 199.36 : x
  2. Step 2: Convert to fraction form
    259.48/390.61 = 199.36/x
  3. Step 3: Cross multiply
    259.48x = 390.61 × 199.36
  4. Step 4: Simplify right side
    259.48x = 77,872.01
  5. Step 5: Solve for x
    x = 77,872.01/259.48
  6. Step 6: Final answer
    x = 300.11

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.