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Finding the Fourth Proportional to 246.38, 369.57 and 102.10

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Solution

The fourth proportional to 246.38, 369.57 and 102.10 is: 153.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    246.38 : 369.57 = 102.10 : x
  2. Step 2: Convert to fraction form
    246.38/369.57 = 102.10/x
  3. Step 3: Cross multiply
    246.38x = 369.57 × 102.10
  4. Step 4: Simplify right side
    246.38x = 37,733.10
  5. Step 5: Solve for x
    x = 37,733.10/246.38
  6. Step 6: Final answer
    x = 153.15

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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.