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Finding the Fourth Proportional to 202.88, 303.95 and 170.59

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Solution

The fourth proportional to 202.88, 303.95 and 170.59 is: 255.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    202.88 : 303.95 = 170.59 : x
  2. Step 2: Convert to fraction form
    202.88/303.95 = 170.59/x
  3. Step 3: Cross multiply
    202.88x = 303.95 × 170.59
  4. Step 4: Simplify right side
    202.88x = 51,850.83
  5. Step 5: Solve for x
    x = 51,850.83/202.88
  6. Step 6: Final answer
    x = 255.57

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.