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Finding the Fourth Proportional to 255.29, 352.01 and 202.02

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Solution

The fourth proportional to 255.29, 352.01 and 202.02 is: 278.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    255.29 : 352.01 = 202.02 : x
  2. Step 2: Convert to fraction form
    255.29/352.01 = 202.02/x
  3. Step 3: Cross multiply
    255.29x = 352.01 × 202.02
  4. Step 4: Simplify right side
    255.29x = 71,113.24
  5. Step 5: Solve for x
    x = 71,113.24/255.29
  6. Step 6: Final answer
    x = 278.56

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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.