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Finding the Fourth Proportional to 339.66, 468.66 and 192.28

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Solution

The fourth proportional to 339.66, 468.66 and 192.28 is: 265.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    339.66 : 468.66 = 192.28 : x
  2. Step 2: Convert to fraction form
    339.66/468.66 = 192.28/x
  3. Step 3: Cross multiply
    339.66x = 468.66 × 192.28
  4. Step 4: Simplify right side
    339.66x = 90,113.94
  5. Step 5: Solve for x
    x = 90,113.94/339.66
  6. Step 6: Final answer
    x = 265.31

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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.