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Finding the Fourth Proportional to 201.68, 302.25 and 79.77

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Solution

The fourth proportional to 201.68, 302.25 and 79.77 is: 119.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    201.68 : 302.25 = 79.77 : x
  2. Step 2: Convert to fraction form
    201.68/302.25 = 79.77/x
  3. Step 3: Cross multiply
    201.68x = 302.25 × 79.77
  4. Step 4: Simplify right side
    201.68x = 24,110.48
  5. Step 5: Solve for x
    x = 24,110.48/201.68
  6. Step 6: Final answer
    x = 119.55

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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.