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Finding the Fourth Proportional to 356.05, 533.13 and 192.97

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Solution

The fourth proportional to 356.05, 533.13 and 192.97 is: 288.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    356.05 : 533.13 = 192.97 : x
  2. Step 2: Convert to fraction form
    356.05/533.13 = 192.97/x
  3. Step 3: Cross multiply
    356.05x = 533.13 × 192.97
  4. Step 4: Simplify right side
    356.05x = 102,878.10
  5. Step 5: Solve for x
    x = 102,878.10/356.05
  6. Step 6: Final answer
    x = 288.94

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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.