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Finding the Fourth Proportional to 246.22, 339.76 and 147.96

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Solution

The fourth proportional to 246.22, 339.76 and 147.96 is: 204.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    246.22 : 339.76 = 147.96 : x
  2. Step 2: Convert to fraction form
    246.22/339.76 = 147.96/x
  3. Step 3: Cross multiply
    246.22x = 339.76 × 147.96
  4. Step 4: Simplify right side
    246.22x = 50,270.89
  5. Step 5: Solve for x
    x = 50,270.89/246.22
  6. Step 6: Final answer
    x = 204.17

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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.