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Finding the Fourth Proportional to 465.76, 698.63 and 119.11

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Solution

The fourth proportional to 465.76, 698.63 and 119.11 is: 178.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    465.76 : 698.63 = 119.11 : x
  2. Step 2: Convert to fraction form
    465.76/698.63 = 119.11/x
  3. Step 3: Cross multiply
    465.76x = 698.63 × 119.11
  4. Step 4: Simplify right side
    465.76x = 83,211.80
  5. Step 5: Solve for x
    x = 83,211.80/465.76
  6. Step 6: Final answer
    x = 178.66

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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.