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Finding the Fourth Proportional to 202.65, 279.09 and 165.53

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Solution

The fourth proportional to 202.65, 279.09 and 165.53 is: 227.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    202.65 : 279.09 = 165.53 : x
  2. Step 2: Convert to fraction form
    202.65/279.09 = 165.53/x
  3. Step 3: Cross multiply
    202.65x = 279.09 × 165.53
  4. Step 4: Simplify right side
    202.65x = 46,196.37
  5. Step 5: Solve for x
    x = 46,196.37/202.65
  6. Step 6: Final answer
    x = 227.96

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.