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Finding the Fourth Proportional to 218.28, 327.03 and 145.14

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Solution

The fourth proportional to 218.28, 327.03 and 145.14 is: 217.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    218.28 : 327.03 = 145.14 : x
  2. Step 2: Convert to fraction form
    218.28/327.03 = 145.14/x
  3. Step 3: Cross multiply
    218.28x = 327.03 × 145.14
  4. Step 4: Simplify right side
    218.28x = 47,465.13
  5. Step 5: Solve for x
    x = 47,465.13/218.28
  6. Step 6: Final answer
    x = 217.45

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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.