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Finding the Fourth Proportional to 596.10, 894.16 and 163.26

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Solution

The fourth proportional to 596.10, 894.16 and 163.26 is: 244.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    596.10 : 894.16 = 163.26 : x
  2. Step 2: Convert to fraction form
    596.10/894.16 = 163.26/x
  3. Step 3: Cross multiply
    596.10x = 894.16 × 163.26
  4. Step 4: Simplify right side
    596.10x = 145,980.56
  5. Step 5: Solve for x
    x = 145,980.56/596.10
  6. Step 6: Final answer
    x = 244.89

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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.