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Finding the Fourth Proportional to 465.57, 698.36 and 118.90

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Solution

The fourth proportional to 465.57, 698.36 and 118.90 is: 178.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    465.57 : 698.36 = 118.90 : x
  2. Step 2: Convert to fraction form
    465.57/698.36 = 118.90/x
  3. Step 3: Cross multiply
    465.57x = 698.36 × 118.90
  4. Step 4: Simplify right side
    465.57x = 83,034.41
  5. Step 5: Solve for x
    x = 83,034.41/465.57
  6. Step 6: Final answer
    x = 178.35

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