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Finding the Fourth Proportional to 202.98, 302.77 and 170.69

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Solution

The fourth proportional to 202.98, 302.77 and 170.69 is: 254.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    202.98 : 302.77 = 170.69 : x
  2. Step 2: Convert to fraction form
    202.98/302.77 = 170.69/x
  3. Step 3: Cross multiply
    202.98x = 302.77 × 170.69
  4. Step 4: Simplify right side
    202.98x = 51,679.81
  5. Step 5: Solve for x
    x = 51,679.81/202.98
  6. Step 6: Final answer
    x = 254.61

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.