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Finding the Fourth Proportional to 339.23, 468.01 and 222.95

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Solution

The fourth proportional to 339.23, 468.01 and 222.95 is: 307.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    339.23 : 468.01 = 222.95 : x
  2. Step 2: Convert to fraction form
    339.23/468.01 = 222.95/x
  3. Step 3: Cross multiply
    339.23x = 468.01 × 222.95
  4. Step 4: Simplify right side
    339.23x = 104,342.83
  5. Step 5: Solve for x
    x = 104,342.83/339.23
  6. Step 6: Final answer
    x = 307.59

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.