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Finding the Fourth Proportional to 218.65, 301.77 and 172.18

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Solution

The fourth proportional to 218.65, 301.77 and 172.18 is: 237.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    218.65 : 301.77 = 172.18 : x
  2. Step 2: Convert to fraction form
    218.65/301.77 = 172.18/x
  3. Step 3: Cross multiply
    218.65x = 301.77 × 172.18
  4. Step 4: Simplify right side
    218.65x = 51,957.25
  5. Step 5: Solve for x
    x = 51,957.25/218.65
  6. Step 6: Final answer
    x = 237.63

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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.