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Finding the Fourth Proportional to 465.72, 698.50 and 157.54

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Solution

The fourth proportional to 465.72, 698.50 and 157.54 is: 236.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    465.72 : 698.50 = 157.54 : x
  2. Step 2: Convert to fraction form
    465.72/698.50 = 157.54/x
  3. Step 3: Cross multiply
    465.72x = 698.50 × 157.54
  4. Step 4: Simplify right side
    465.72x = 110,041.69
  5. Step 5: Solve for x
    x = 110,041.69/465.72
  6. Step 6: Final answer
    x = 236.28

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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.