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Finding the Fourth Proportional to 255.07, 352.23 and 202.90

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Solution

The fourth proportional to 255.07, 352.23 and 202.90 is: 280.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    255.07 : 352.23 = 202.90 : x
  2. Step 2: Convert to fraction form
    255.07/352.23 = 202.90/x
  3. Step 3: Cross multiply
    255.07x = 352.23 × 202.90
  4. Step 4: Simplify right side
    255.07x = 71,467.47
  5. Step 5: Solve for x
    x = 71,467.47/255.07
  6. Step 6: Final answer
    x = 280.19

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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.