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Finding the Fourth Proportional to 201.93, 302.51 and 169.63

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Solution

The fourth proportional to 201.93, 302.51 and 169.63 is: 254.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    201.93 : 302.51 = 169.63 : x
  2. Step 2: Convert to fraction form
    201.93/302.51 = 169.63/x
  3. Step 3: Cross multiply
    201.93x = 302.51 × 169.63
  4. Step 4: Simplify right side
    201.93x = 51,314.68
  5. Step 5: Solve for x
    x = 51,314.68/201.93
  6. Step 6: Final answer
    x = 254.13

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.