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Finding the Fourth Proportional to 339.58, 468.62 and 192.22

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Solution

The fourth proportional to 339.58, 468.62 and 192.22 is: 265.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    339.58 : 468.62 = 192.22 : x
  2. Step 2: Convert to fraction form
    339.58/468.62 = 192.22/x
  3. Step 3: Cross multiply
    339.58x = 468.62 × 192.22
  4. Step 4: Simplify right side
    339.58x = 90,077.51
  5. Step 5: Solve for x
    x = 90,077.51/339.58
  6. Step 6: Final answer
    x = 265.26

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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.