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Finding the Fourth Proportional to 356.67, 534.71 and 192.09

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Solution

The fourth proportional to 356.67, 534.71 and 192.09 is: 287.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    356.67 : 534.71 = 192.09 : x
  2. Step 2: Convert to fraction form
    356.67/534.71 = 192.09/x
  3. Step 3: Cross multiply
    356.67x = 534.71 × 192.09
  4. Step 4: Simplify right side
    356.67x = 102,711.48
  5. Step 5: Solve for x
    x = 102,711.48/356.67
  6. Step 6: Final answer
    x = 287.97

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.