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Finding the Fourth Proportional to 246.32, 370.96 and 216.26

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Solution

The fourth proportional to 246.32, 370.96 and 216.26 is: 325.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    246.32 : 370.96 = 216.26 : x
  2. Step 2: Convert to fraction form
    246.32/370.96 = 216.26/x
  3. Step 3: Cross multiply
    246.32x = 370.96 × 216.26
  4. Step 4: Simplify right side
    246.32x = 80,223.81
  5. Step 5: Solve for x
    x = 80,223.81/246.32
  6. Step 6: Final answer
    x = 325.69

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.