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Finding the Fourth Proportional to 482.15, 723.32 and 157.49

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Solution

The fourth proportional to 482.15, 723.32 and 157.49 is: 236.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    482.15 : 723.32 = 157.49 : x
  2. Step 2: Convert to fraction form
    482.15/723.32 = 157.49/x
  3. Step 3: Cross multiply
    482.15x = 723.32 × 157.49
  4. Step 4: Simplify right side
    482.15x = 113,914.88
  5. Step 5: Solve for x
    x = 113,914.88/482.15
  6. Step 6: Final answer
    x = 236.27

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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.