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Finding the Fourth Proportional to 246.22, 369.68 and 155.28

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Solution

The fourth proportional to 246.22, 369.68 and 155.28 is: 233.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    246.22 : 369.68 = 155.28 : x
  2. Step 2: Convert to fraction form
    246.22/369.68 = 155.28/x
  3. Step 3: Cross multiply
    246.22x = 369.68 × 155.28
  4. Step 4: Simplify right side
    246.22x = 57,403.91
  5. Step 5: Solve for x
    x = 57,403.91/246.22
  6. Step 6: Final answer
    x = 233.14

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Why These Related Problems?

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