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Finding the Fourth Proportional to 393.11, 589.47 and 146.14

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Solution

The fourth proportional to 393.11, 589.47 and 146.14 is: 219.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    393.11 : 589.47 = 146.14 : x
  2. Step 2: Convert to fraction form
    393.11/589.47 = 146.14/x
  3. Step 3: Cross multiply
    393.11x = 589.47 × 146.14
  4. Step 4: Simplify right side
    393.11x = 86,145.15
  5. Step 5: Solve for x
    x = 86,145.15/393.11
  6. Step 6: Final answer
    x = 219.14

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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.