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Finding the Fourth Proportional to 393.01, 589.55 and 133.14

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Solution

The fourth proportional to 393.01, 589.55 and 133.14 is: 199.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    393.01 : 589.55 = 133.14 : x
  2. Step 2: Convert to fraction form
    393.01/589.55 = 133.14/x
  3. Step 3: Cross multiply
    393.01x = 589.55 × 133.14
  4. Step 4: Simplify right side
    393.01x = 78,492.69
  5. Step 5: Solve for x
    x = 78,492.69/393.01
  6. Step 6: Final answer
    x = 199.72

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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.