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Finding the Fourth Proportional to 558.25, 837.45 and 193.14

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Solution

The fourth proportional to 558.25, 837.45 and 193.14 is: 289.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    558.25 : 837.45 = 193.14 : x
  2. Step 2: Convert to fraction form
    558.25/837.45 = 193.14/x
  3. Step 3: Cross multiply
    558.25x = 837.45 × 193.14
  4. Step 4: Simplify right side
    558.25x = 161,745.09
  5. Step 5: Solve for x
    x = 161,745.09/558.25
  6. Step 6: Final answer
    x = 289.74

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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.