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Finding the Fourth Proportional to 197.17, 295.06 and 191.32

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Solution

The fourth proportional to 197.17, 295.06 and 191.32 is: 286.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    197.17 : 295.06 = 191.32 : x
  2. Step 2: Convert to fraction form
    197.17/295.06 = 191.32/x
  3. Step 3: Cross multiply
    197.17x = 295.06 × 191.32
  4. Step 4: Simplify right side
    197.17x = 56,451.29
  5. Step 5: Solve for x
    x = 56,451.29/197.17
  6. Step 6: Final answer
    x = 286.31

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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.