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Finding the Fourth Proportional to 465.85, 698.91 and 157.67

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Solution

The fourth proportional to 465.85, 698.91 and 157.67 is: 236.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    465.85 : 698.91 = 157.67 : x
  2. Step 2: Convert to fraction form
    465.85/698.91 = 157.67/x
  3. Step 3: Cross multiply
    465.85x = 698.91 × 157.67
  4. Step 4: Simplify right side
    465.85x = 110,196.75
  5. Step 5: Solve for x
    x = 110,196.75/465.85
  6. Step 6: Final answer
    x = 236.55

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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.