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Finding the Fourth Proportional to 465.64, 698.49 and 157.45

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Solution

The fourth proportional to 465.64, 698.49 and 157.45 is: 236.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    465.64 : 698.49 = 157.45 : x
  2. Step 2: Convert to fraction form
    465.64/698.49 = 157.45/x
  3. Step 3: Cross multiply
    465.64x = 698.49 × 157.45
  4. Step 4: Simplify right side
    465.64x = 109,977.25
  5. Step 5: Solve for x
    x = 109,977.25/465.64
  6. Step 6: Final answer
    x = 236.19

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.