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Finding the Fourth Proportional to 559.96, 840.32 and 194.75

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Solution

The fourth proportional to 559.96, 840.32 and 194.75 is: 292.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    559.96 : 840.32 = 194.75 : x
  2. Step 2: Convert to fraction form
    559.96/840.32 = 194.75/x
  3. Step 3: Cross multiply
    559.96x = 840.32 × 194.75
  4. Step 4: Simplify right side
    559.96x = 163,656.85
  5. Step 5: Solve for x
    x = 163,656.85/559.96
  6. Step 6: Final answer
    x = 292.26

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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.