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Finding the Fourth Proportional to 395.19, 545.34 and 218.15

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Solution

The fourth proportional to 395.19, 545.34 and 218.15 is: 301.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    395.19 : 545.34 = 218.15 : x
  2. Step 2: Convert to fraction form
    395.19/545.34 = 218.15/x
  3. Step 3: Cross multiply
    395.19x = 545.34 × 218.15
  4. Step 4: Simplify right side
    395.19x = 118,963.19
  5. Step 5: Solve for x
    x = 118,963.19/395.19
  6. Step 6: Final answer
    x = 301.03

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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.