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Finding the Fourth Proportional to 197.55, 272.63 and 110.21

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Solution

The fourth proportional to 197.55, 272.63 and 110.21 is: 152.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    197.55 : 272.63 = 110.21 : x
  2. Step 2: Convert to fraction form
    197.55/272.63 = 110.21/x
  3. Step 3: Cross multiply
    197.55x = 272.63 × 110.21
  4. Step 4: Simplify right side
    197.55x = 30,045.46
  5. Step 5: Solve for x
    x = 30,045.46/197.55
  6. Step 6: Final answer
    x = 152.09

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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.