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Finding the Fourth Proportional to 197.08, 295.74 and 124

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Solution

The fourth proportional to 197.08, 295.74 and 124 is: 186.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    197.08 : 295.74 = 124 : x
  2. Step 2: Convert to fraction form
    197.08/295.74 = 124/x
  3. Step 3: Cross multiply
    197.08x = 295.74 × 124
  4. Step 4: Simplify right side
    197.08x = 36,671.76
  5. Step 5: Solve for x
    x = 36,671.76/197.08
  6. Step 6: Final answer
    x = 186.08

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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.