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Finding the Fourth Proportional to 202.82, 279.94 and 170.02

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Solution

The fourth proportional to 202.82, 279.94 and 170.02 is: 234.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    202.82 : 279.94 = 170.02 : x
  2. Step 2: Convert to fraction form
    202.82/279.94 = 170.02/x
  3. Step 3: Cross multiply
    202.82x = 279.94 × 170.02
  4. Step 4: Simplify right side
    202.82x = 47,594.00
  5. Step 5: Solve for x
    x = 47,594.00/202.82
  6. Step 6: Final answer
    x = 234.66

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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.