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Finding the Fourth Proportional to 395.81, 546.25 and 221.16

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Solution

The fourth proportional to 395.81, 546.25 and 221.16 is: 305.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    395.81 : 546.25 = 221.16 : x
  2. Step 2: Convert to fraction form
    395.81/546.25 = 221.16/x
  3. Step 3: Cross multiply
    395.81x = 546.25 × 221.16
  4. Step 4: Simplify right side
    395.81x = 120,808.10
  5. Step 5: Solve for x
    x = 120,808.10/395.81
  6. Step 6: Final answer
    x = 305.22

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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.