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Finding the Fourth Proportional to 197.07, 272.00 and 145.71

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Solution

The fourth proportional to 197.07, 272.00 and 145.71 is: 201.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    197.07 : 272.00 = 145.71 : x
  2. Step 2: Convert to fraction form
    197.07/272.00 = 145.71/x
  3. Step 3: Cross multiply
    197.07x = 272.00 × 145.71
  4. Step 4: Simplify right side
    197.07x = 39,632.39
  5. Step 5: Solve for x
    x = 39,632.39/197.07
  6. Step 6: Final answer
    x = 201.11

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