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Finding the Fourth Proportional to 339.94, 469.08 and 192.57

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Solution

The fourth proportional to 339.94, 469.08 and 192.57 is: 265.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    339.94 : 469.08 = 192.57 : x
  2. Step 2: Convert to fraction form
    339.94/469.08 = 192.57/x
  3. Step 3: Cross multiply
    339.94x = 469.08 × 192.57
  4. Step 4: Simplify right side
    339.94x = 90,330.74
  5. Step 5: Solve for x
    x = 90,330.74/339.94
  6. Step 6: Final answer
    x = 265.73

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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.