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Finding the Fourth Proportional to 656.27, 984.10 and 193.88

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Solution

The fourth proportional to 656.27, 984.10 and 193.88 is: 290.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    656.27 : 984.10 = 193.88 : x
  2. Step 2: Convert to fraction form
    656.27/984.10 = 193.88/x
  3. Step 3: Cross multiply
    656.27x = 984.10 × 193.88
  4. Step 4: Simplify right side
    656.27x = 190,800.25
  5. Step 5: Solve for x
    x = 190,800.25/656.27
  6. Step 6: Final answer
    x = 290.74

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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.