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Finding the Fourth Proportional to 395.56, 545.96 and 248.16

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Solution

The fourth proportional to 395.56, 545.96 and 248.16 is: 342.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    395.56 : 545.96 = 248.16 : x
  2. Step 2: Convert to fraction form
    395.56/545.96 = 248.16/x
  3. Step 3: Cross multiply
    395.56x = 545.96 × 248.16
  4. Step 4: Simplify right side
    395.56x = 135,485.43
  5. Step 5: Solve for x
    x = 135,485.43/395.56
  6. Step 6: Final answer
    x = 342.52

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Why These Related Problems?

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