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Finding the Fourth Proportional to 558.25, 836.85 and 192.95

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Solution

The fourth proportional to 558.25, 836.85 and 192.95 is: 289.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    558.25 : 836.85 = 192.95 : x
  2. Step 2: Convert to fraction form
    558.25/836.85 = 192.95/x
  3. Step 3: Cross multiply
    558.25x = 836.85 × 192.95
  4. Step 4: Simplify right side
    558.25x = 161,466.02
  5. Step 5: Solve for x
    x = 161,466.02/558.25
  6. Step 6: Final answer
    x = 289.24

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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.