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Finding the Fourth Proportional to 197.50, 272.35 and 177.86

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Solution

The fourth proportional to 197.50, 272.35 and 177.86 is: 245.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    197.50 : 272.35 = 177.86 : x
  2. Step 2: Convert to fraction form
    197.50/272.35 = 177.86/x
  3. Step 3: Cross multiply
    197.50x = 272.35 × 177.86
  4. Step 4: Simplify right side
    197.50x = 48,440.17
  5. Step 5: Solve for x
    x = 48,440.17/197.50
  6. Step 6: Final answer
    x = 245.27

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.