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Finding the Fourth Proportional to 558.90, 838.23 and 174.15

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Solution

The fourth proportional to 558.90, 838.23 and 174.15 is: 261.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    558.90 : 838.23 = 174.15 : x
  2. Step 2: Convert to fraction form
    558.90/838.23 = 174.15/x
  3. Step 3: Cross multiply
    558.90x = 838.23 × 174.15
  4. Step 4: Simplify right side
    558.90x = 145,977.75
  5. Step 5: Solve for x
    x = 145,977.75/558.90
  6. Step 6: Final answer
    x = 261.19

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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.