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Finding the Fourth Proportional to 656.66, 984.99 and 194.45

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Solution

The fourth proportional to 656.66, 984.99 and 194.45 is: 291.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    656.66 : 984.99 = 194.45 : x
  2. Step 2: Convert to fraction form
    656.66/984.99 = 194.45/x
  3. Step 3: Cross multiply
    656.66x = 984.99 × 194.45
  4. Step 4: Simplify right side
    656.66x = 191,531.31
  5. Step 5: Solve for x
    x = 191,531.31/656.66
  6. Step 6: Final answer
    x = 291.68

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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.