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Finding the Fourth Proportional to 557.78, 836.91 and 192.83

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Solution

The fourth proportional to 557.78, 836.91 and 192.83 is: 289.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    557.78 : 836.91 = 192.83 : x
  2. Step 2: Convert to fraction form
    557.78/836.91 = 192.83/x
  3. Step 3: Cross multiply
    557.78x = 836.91 × 192.83
  4. Step 4: Simplify right side
    557.78x = 161,377.17
  5. Step 5: Solve for x
    x = 161,377.17/557.78
  6. Step 6: Final answer
    x = 289.32

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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.