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Finding the Fourth Proportional to 197.32, 295.74 and 75.50

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Solution

The fourth proportional to 197.32, 295.74 and 75.50 is: 113.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    197.32 : 295.74 = 75.50 : x
  2. Step 2: Convert to fraction form
    197.32/295.74 = 75.50/x
  3. Step 3: Cross multiply
    197.32x = 295.74 × 75.50
  4. Step 4: Simplify right side
    197.32x = 22,328.37
  5. Step 5: Solve for x
    x = 22,328.37/197.32
  6. Step 6: Final answer
    x = 113.16

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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.