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Finding the Fourth Proportional to 339.66, 468.21 and 229.11

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Solution

The fourth proportional to 339.66, 468.21 and 229.11 is: 315.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    339.66 : 468.21 = 229.11 : x
  2. Step 2: Convert to fraction form
    339.66/468.21 = 229.11/x
  3. Step 3: Cross multiply
    339.66x = 468.21 × 229.11
  4. Step 4: Simplify right side
    339.66x = 107,271.59
  5. Step 5: Solve for x
    x = 107,271.59/339.66
  6. Step 6: Final answer
    x = 315.82

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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.