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Finding the Fourth Proportional to 202.33, 302.03 and 187.31

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Solution

The fourth proportional to 202.33, 302.03 and 187.31 is: 279.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    202.33 : 302.03 = 187.31 : x
  2. Step 2: Convert to fraction form
    202.33/302.03 = 187.31/x
  3. Step 3: Cross multiply
    202.33x = 302.03 × 187.31
  4. Step 4: Simplify right side
    202.33x = 56,573.76
  5. Step 5: Solve for x
    x = 56,573.76/202.33
  6. Step 6: Final answer
    x = 279.61

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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.