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Finding the Fourth Proportional to 197.72, 296.81 and 89.51

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Solution

The fourth proportional to 197.72, 296.81 and 89.51 is: 134.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    197.72 : 296.81 = 89.51 : x
  2. Step 2: Convert to fraction form
    197.72/296.81 = 89.51/x
  3. Step 3: Cross multiply
    197.72x = 296.81 × 89.51
  4. Step 4: Simplify right side
    197.72x = 26,566.45
  5. Step 5: Solve for x
    x = 26,566.45/197.72
  6. Step 6: Final answer
    x = 134.36

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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.