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Finding the Fourth Proportional to 558.05, 837.14 and 192.80

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Solution

The fourth proportional to 558.05, 837.14 and 192.80 is: 289.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    558.05 : 837.14 = 192.80 : x
  2. Step 2: Convert to fraction form
    558.05/837.14 = 192.80/x
  3. Step 3: Cross multiply
    558.05x = 837.14 × 192.80
  4. Step 4: Simplify right side
    558.05x = 161,400.59
  5. Step 5: Solve for x
    x = 161,400.59/558.05
  6. Step 6: Final answer
    x = 289.22

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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.