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Finding the Fourth Proportional to 197.24, 271.76 and 188.02

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Solution

The fourth proportional to 197.24, 271.76 and 188.02 is: 259.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    197.24 : 271.76 = 188.02 : x
  2. Step 2: Convert to fraction form
    197.24/271.76 = 188.02/x
  3. Step 3: Cross multiply
    197.24x = 271.76 × 188.02
  4. Step 4: Simplify right side
    197.24x = 51,095.71
  5. Step 5: Solve for x
    x = 51,095.71/197.24
  6. Step 6: Final answer
    x = 259.06

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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.