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Finding the Fourth Proportional to 246.65, 370.13 and 109.71

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Solution

The fourth proportional to 246.65, 370.13 and 109.71 is: 164.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    246.65 : 370.13 = 109.71 : x
  2. Step 2: Convert to fraction form
    246.65/370.13 = 109.71/x
  3. Step 3: Cross multiply
    246.65x = 370.13 × 109.71
  4. Step 4: Simplify right side
    246.65x = 40,606.41
  5. Step 5: Solve for x
    x = 40,606.41/246.65
  6. Step 6: Final answer
    x = 164.64

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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.