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Finding the Fourth Proportional to 395.16, 545.31 and 218.13

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Solution

The fourth proportional to 395.16, 545.31 and 218.13 is: 301.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    395.16 : 545.31 = 218.13 : x
  2. Step 2: Convert to fraction form
    395.16/545.31 = 218.13/x
  3. Step 3: Cross multiply
    395.16x = 545.31 × 218.13
  4. Step 4: Simplify right side
    395.16x = 118,948.47
  5. Step 5: Solve for x
    x = 118,948.47/395.16
  6. Step 6: Final answer
    x = 301.01

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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.