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Finding the Fourth Proportional to 255.54, 352.64 and 157.26

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Solution

The fourth proportional to 255.54, 352.64 and 157.26 is: 217.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    255.54 : 352.64 = 157.26 : x
  2. Step 2: Convert to fraction form
    255.54/352.64 = 157.26/x
  3. Step 3: Cross multiply
    255.54x = 352.64 × 157.26
  4. Step 4: Simplify right side
    255.54x = 55,456.17
  5. Step 5: Solve for x
    x = 55,456.17/255.54
  6. Step 6: Final answer
    x = 217.02

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.