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Finding the Fourth Proportional to 549.18, 823.75 and 220.22

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Solution

The fourth proportional to 549.18, 823.75 and 220.22 is: 330.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    549.18 : 823.75 = 220.22 : x
  2. Step 2: Convert to fraction form
    549.18/823.75 = 220.22/x
  3. Step 3: Cross multiply
    549.18x = 823.75 × 220.22
  4. Step 4: Simplify right side
    549.18x = 181,406.23
  5. Step 5: Solve for x
    x = 181,406.23/549.18
  6. Step 6: Final answer
    x = 330.32

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.