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Finding the Fourth Proportional to 340.32, 469.61 and 192.97

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Solution

The fourth proportional to 340.32, 469.61 and 192.97 is: 266.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    340.32 : 469.61 = 192.97 : x
  2. Step 2: Convert to fraction form
    340.32/469.61 = 192.97/x
  3. Step 3: Cross multiply
    340.32x = 469.61 × 192.97
  4. Step 4: Simplify right side
    340.32x = 90,620.64
  5. Step 5: Solve for x
    x = 90,620.64/340.32
  6. Step 6: Final answer
    x = 266.28

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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.