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Finding the Fourth Proportional to 246.84, 370.32 and 102.56

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Solution

The fourth proportional to 246.84, 370.32 and 102.56 is: 153.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    246.84 : 370.32 = 102.56 : x
  2. Step 2: Convert to fraction form
    246.84/370.32 = 102.56/x
  3. Step 3: Cross multiply
    246.84x = 370.32 × 102.56
  4. Step 4: Simplify right side
    246.84x = 37,980.02
  5. Step 5: Solve for x
    x = 37,980.02/246.84
  6. Step 6: Final answer
    x = 153.86

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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.