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Finding the Fourth Proportional to 340.06, 469.27 and 192.72

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Solution

The fourth proportional to 340.06, 469.27 and 192.72 is: 265.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    340.06 : 469.27 = 192.72 : x
  2. Step 2: Convert to fraction form
    340.06/469.27 = 192.72/x
  3. Step 3: Cross multiply
    340.06x = 469.27 × 192.72
  4. Step 4: Simplify right side
    340.06x = 90,439.17
  5. Step 5: Solve for x
    x = 90,439.17/340.06
  6. Step 6: Final answer
    x = 265.95

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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.