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Finding the Fourth Proportional to 339.86, 467.72 and 266.16

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Solution

The fourth proportional to 339.86, 467.72 and 266.16 is: 366.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    339.86 : 467.72 = 266.16 : x
  2. Step 2: Convert to fraction form
    339.86/467.72 = 266.16/x
  3. Step 3: Cross multiply
    339.86x = 467.72 × 266.16
  4. Step 4: Simplify right side
    339.86x = 124,488.36
  5. Step 5: Solve for x
    x = 124,488.36/339.86
  6. Step 6: Final answer
    x = 366.29

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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.