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Finding the Fourth Proportional to 557.98, 837.02 and 192.68

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Solution

The fourth proportional to 557.98, 837.02 and 192.68 is: 289.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    557.98 : 837.02 = 192.68 : x
  2. Step 2: Convert to fraction form
    557.98/837.02 = 192.68/x
  3. Step 3: Cross multiply
    557.98x = 837.02 × 192.68
  4. Step 4: Simplify right side
    557.98x = 161,276.09
  5. Step 5: Solve for x
    x = 161,276.09/557.98
  6. Step 6: Final answer
    x = 289.04

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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.