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Finding the Fourth Proportional to 218.64, 327.56 and 157.64

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Solution

The fourth proportional to 218.64, 327.56 and 157.64 is: 236.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    218.64 : 327.56 = 157.64 : x
  2. Step 2: Convert to fraction form
    218.64/327.56 = 157.64/x
  3. Step 3: Cross multiply
    218.64x = 327.56 × 157.64
  4. Step 4: Simplify right side
    218.64x = 51,636.56
  5. Step 5: Solve for x
    x = 51,636.56/218.64
  6. Step 6: Final answer
    x = 236.17

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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.