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Finding the Fourth Proportional to 559.85, 840.16 and 194.64

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Solution

The fourth proportional to 559.85, 840.16 and 194.64 is: 292.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    559.85 : 840.16 = 194.64 : x
  2. Step 2: Convert to fraction form
    559.85/840.16 = 194.64/x
  3. Step 3: Cross multiply
    559.85x = 840.16 × 194.64
  4. Step 4: Simplify right side
    559.85x = 163,528.74
  5. Step 5: Solve for x
    x = 163,528.74/559.85
  6. Step 6: Final answer
    x = 292.09

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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.