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Finding the Fourth Proportional to 246.55, 340.24 and 141.64

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Solution

The fourth proportional to 246.55, 340.24 and 141.64 is: 195.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    246.55 : 340.24 = 141.64 : x
  2. Step 2: Convert to fraction form
    246.55/340.24 = 141.64/x
  3. Step 3: Cross multiply
    246.55x = 340.24 × 141.64
  4. Step 4: Simplify right side
    246.55x = 48,192.57
  5. Step 5: Solve for x
    x = 48,192.57/246.55
  6. Step 6: Final answer
    x = 195.47

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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.