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Finding the Fourth Proportional to 558.23, 837.16 and 192.92

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Solution

The fourth proportional to 558.23, 837.16 and 192.92 is: 289.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    558.23 : 837.16 = 192.92 : x
  2. Step 2: Convert to fraction form
    558.23/837.16 = 192.92/x
  3. Step 3: Cross multiply
    558.23x = 837.16 × 192.92
  4. Step 4: Simplify right side
    558.23x = 161,499.76
  5. Step 5: Solve for x
    x = 161,499.76/558.23
  6. Step 6: Final answer
    x = 289.31

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