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Finding the Fourth Proportional to 596.09, 894.19 and 157.34

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Solution

The fourth proportional to 596.09, 894.19 and 157.34 is: 236.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    596.09 : 894.19 = 157.34 : x
  2. Step 2: Convert to fraction form
    596.09/894.19 = 157.34/x
  3. Step 3: Cross multiply
    596.09x = 894.19 × 157.34
  4. Step 4: Simplify right side
    596.09x = 140,693.99
  5. Step 5: Solve for x
    x = 140,693.99/596.09
  6. Step 6: Final answer
    x = 236.03

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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.