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Finding the Fourth Proportional to 242.27, 333.98 and 197.93

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Solution

The fourth proportional to 242.27, 333.98 and 197.93 is: 272.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    242.27 : 333.98 = 197.93 : x
  2. Step 2: Convert to fraction form
    242.27/333.98 = 197.93/x
  3. Step 3: Cross multiply
    242.27x = 333.98 × 197.93
  4. Step 4: Simplify right side
    242.27x = 66,102.00
  5. Step 5: Solve for x
    x = 66,102.00/242.27
  6. Step 6: Final answer
    x = 272.85

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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.