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Finding the Fourth Proportional to 395.16, 545.34 and 247.80

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Solution

The fourth proportional to 395.16, 545.34 and 247.80 is: 341.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    395.16 : 545.34 = 247.80 : x
  2. Step 2: Convert to fraction form
    395.16/545.34 = 247.80/x
  3. Step 3: Cross multiply
    395.16x = 545.34 × 247.80
  4. Step 4: Simplify right side
    395.16x = 135,135.25
  5. Step 5: Solve for x
    x = 135,135.25/395.16
  6. Step 6: Final answer
    x = 341.98

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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.