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Finding the Fourth Proportional to 202.80, 302.55 and 166.62

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Solution

The fourth proportional to 202.80, 302.55 and 166.62 is: 248.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    202.80 : 302.55 = 166.62 : x
  2. Step 2: Convert to fraction form
    202.80/302.55 = 166.62/x
  3. Step 3: Cross multiply
    202.80x = 302.55 × 166.62
  4. Step 4: Simplify right side
    202.80x = 50,410.88
  5. Step 5: Solve for x
    x = 50,410.88/202.80
  6. Step 6: Final answer
    x = 248.57

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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.