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Finding the Fourth Proportional to 465.87, 698.75 and 157.71

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Solution

The fourth proportional to 465.87, 698.75 and 157.71 is: 236.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    465.87 : 698.75 = 157.71 : x
  2. Step 2: Convert to fraction form
    465.87/698.75 = 157.71/x
  3. Step 3: Cross multiply
    465.87x = 698.75 × 157.71
  4. Step 4: Simplify right side
    465.87x = 110,199.07
  5. Step 5: Solve for x
    x = 110,199.07/465.87
  6. Step 6: Final answer
    x = 236.54

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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.