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Finding the Fourth Proportional to 656.85, 984.99 and 194.52

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Solution

The fourth proportional to 656.85, 984.99 and 194.52 is: 291.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    656.85 : 984.99 = 194.52 : x
  2. Step 2: Convert to fraction form
    656.85/984.99 = 194.52/x
  3. Step 3: Cross multiply
    656.85x = 984.99 × 194.52
  4. Step 4: Simplify right side
    656.85x = 191,600.25
  5. Step 5: Solve for x
    x = 191,600.25/656.85
  6. Step 6: Final answer
    x = 291.70

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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.