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Finding the Fourth Proportional to 202.26, 301.93 and 188.60

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Solution

The fourth proportional to 202.26, 301.93 and 188.60 is: 281.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    202.26 : 301.93 = 188.60 : x
  2. Step 2: Convert to fraction form
    202.26/301.93 = 188.60/x
  3. Step 3: Cross multiply
    202.26x = 301.93 × 188.60
  4. Step 4: Simplify right side
    202.26x = 56,942.02
  5. Step 5: Solve for x
    x = 56,942.02/202.26
  6. Step 6: Final answer
    x = 281.52

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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.