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Finding the Fourth Proportional to 308.22, 462.33 and 91.77

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Solution

The fourth proportional to 308.22, 462.33 and 91.77 is: 137.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    308.22 : 462.33 = 91.77 : x
  2. Step 2: Convert to fraction form
    308.22/462.33 = 91.77/x
  3. Step 3: Cross multiply
    308.22x = 462.33 × 91.77
  4. Step 4: Simplify right side
    308.22x = 42,428.02
  5. Step 5: Solve for x
    x = 42,428.02/308.22
  6. Step 6: Final answer
    x = 137.66

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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.