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Finding the Fourth Proportional to 388.56, 582.96 and 157.56

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Solution

The fourth proportional to 388.56, 582.96 and 157.56 is: 236.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    388.56 : 582.96 = 157.56 : x
  2. Step 2: Convert to fraction form
    388.56/582.96 = 157.56/x
  3. Step 3: Cross multiply
    388.56x = 582.96 × 157.56
  4. Step 4: Simplify right side
    388.56x = 91,851.18
  5. Step 5: Solve for x
    x = 91,851.18/388.56
  6. Step 6: Final answer
    x = 236.39

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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.