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Finding the Fourth Proportional to 339.22, 467.93 and 208.13

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Solution

The fourth proportional to 339.22, 467.93 and 208.13 is: 287.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    339.22 : 467.93 = 208.13 : x
  2. Step 2: Convert to fraction form
    339.22/467.93 = 208.13/x
  3. Step 3: Cross multiply
    339.22x = 467.93 × 208.13
  4. Step 4: Simplify right side
    339.22x = 97,389.23
  5. Step 5: Solve for x
    x = 97,389.23/339.22
  6. Step 6: Final answer
    x = 287.10

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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.