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Finding the Fourth Proportional to 202.90, 280.26 and 170.32

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Solution

The fourth proportional to 202.90, 280.26 and 170.32 is: 235.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    202.90 : 280.26 = 170.32 : x
  2. Step 2: Convert to fraction form
    202.90/280.26 = 170.32/x
  3. Step 3: Cross multiply
    202.90x = 280.26 × 170.32
  4. Step 4: Simplify right side
    202.90x = 47,733.88
  5. Step 5: Solve for x
    x = 47,733.88/202.90
  6. Step 6: Final answer
    x = 235.26

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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.