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Finding the Fourth Proportional to 340.12, 469.34 and 192.75

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Solution

The fourth proportional to 340.12, 469.34 and 192.75 is: 265.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    340.12 : 469.34 = 192.75 : x
  2. Step 2: Convert to fraction form
    340.12/469.34 = 192.75/x
  3. Step 3: Cross multiply
    340.12x = 469.34 × 192.75
  4. Step 4: Simplify right side
    340.12x = 90,463.28
  5. Step 5: Solve for x
    x = 90,463.28/340.12
  6. Step 6: Final answer
    x = 265.97

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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.