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Finding the Fourth Proportional to 465.93, 698.99 and 157.77

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Solution

The fourth proportional to 465.93, 698.99 and 157.77 is: 236.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    465.93 : 698.99 = 157.77 : x
  2. Step 2: Convert to fraction form
    465.93/698.99 = 157.77/x
  3. Step 3: Cross multiply
    465.93x = 698.99 × 157.77
  4. Step 4: Simplify right side
    465.93x = 110,278.86
  5. Step 5: Solve for x
    x = 110,278.86/465.93
  6. Step 6: Final answer
    x = 236.69

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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.