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Finding the Fourth Proportional to 197.51, 272.72 and 153.95

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Solution

The fourth proportional to 197.51, 272.72 and 153.95 is: 212.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    197.51 : 272.72 = 153.95 : x
  2. Step 2: Convert to fraction form
    197.51/272.72 = 153.95/x
  3. Step 3: Cross multiply
    197.51x = 272.72 × 153.95
  4. Step 4: Simplify right side
    197.51x = 41,984.47
  5. Step 5: Solve for x
    x = 41,984.47/197.51
  6. Step 6: Final answer
    x = 212.57

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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.