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Finding the Fourth Proportional to 395.36, 545.90 and 248.08

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Solution

The fourth proportional to 395.36, 545.90 and 248.08 is: 342.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    395.36 : 545.90 = 248.08 : x
  2. Step 2: Convert to fraction form
    395.36/545.90 = 248.08/x
  3. Step 3: Cross multiply
    395.36x = 545.90 × 248.08
  4. Step 4: Simplify right side
    395.36x = 135,426.87
  5. Step 5: Solve for x
    x = 135,426.87/395.36
  6. Step 6: Final answer
    x = 342.54

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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.