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Finding the Fourth Proportional to 465.57, 698.31 and 157.41

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Solution

The fourth proportional to 465.57, 698.31 and 157.41 is: 236.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    465.57 : 698.31 = 157.41 : x
  2. Step 2: Convert to fraction form
    465.57/698.31 = 157.41/x
  3. Step 3: Cross multiply
    465.57x = 698.31 × 157.41
  4. Step 4: Simplify right side
    465.57x = 109,920.98
  5. Step 5: Solve for x
    x = 109,920.98/465.57
  6. Step 6: Final answer
    x = 236.10

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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.