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Finding the Fourth Proportional to 246.57, 369.55 and 180.58

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Solution

The fourth proportional to 246.57, 369.55 and 180.58 is: 270.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    246.57 : 369.55 = 180.58 : x
  2. Step 2: Convert to fraction form
    246.57/369.55 = 180.58/x
  3. Step 3: Cross multiply
    246.57x = 369.55 × 180.58
  4. Step 4: Simplify right side
    246.57x = 66,732.32
  5. Step 5: Solve for x
    x = 66,732.32/246.57
  6. Step 6: Final answer
    x = 270.65

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.