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Finding the Fourth Proportional to 255.08, 352.17 and 157.01

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Solution

The fourth proportional to 255.08, 352.17 and 157.01 is: 216.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    255.08 : 352.17 = 157.01 : x
  2. Step 2: Convert to fraction form
    255.08/352.17 = 157.01/x
  3. Step 3: Cross multiply
    255.08x = 352.17 × 157.01
  4. Step 4: Simplify right side
    255.08x = 55,292.45
  5. Step 5: Solve for x
    x = 55,292.45/255.08
  6. Step 6: Final answer
    x = 216.76

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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.