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Finding the Fourth Proportional to 482.02, 722.97 and 157.39

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Solution

The fourth proportional to 482.02, 722.97 and 157.39 is: 236.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    482.02 : 722.97 = 157.39 : x
  2. Step 2: Convert to fraction form
    482.02/722.97 = 157.39/x
  3. Step 3: Cross multiply
    482.02x = 722.97 × 157.39
  4. Step 4: Simplify right side
    482.02x = 113,788.25
  5. Step 5: Solve for x
    x = 113,788.25/482.02
  6. Step 6: Final answer
    x = 236.07

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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.