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Finding the Fourth Proportional to 339.41, 468.13 and 221.25

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Solution

The fourth proportional to 339.41, 468.13 and 221.25 is: 305.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    339.41 : 468.13 = 221.25 : x
  2. Step 2: Convert to fraction form
    339.41/468.13 = 221.25/x
  3. Step 3: Cross multiply
    339.41x = 468.13 × 221.25
  4. Step 4: Simplify right side
    339.41x = 103,572.75
  5. Step 5: Solve for x
    x = 103,572.75/339.41
  6. Step 6: Final answer
    x = 305.16

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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.