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Finding the Fourth Proportional to 393.29, 589.70 and 133.16

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Solution

The fourth proportional to 393.29, 589.70 and 133.16 is: 199.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    393.29 : 589.70 = 133.16 : x
  2. Step 2: Convert to fraction form
    393.29/589.70 = 133.16/x
  3. Step 3: Cross multiply
    393.29x = 589.70 × 133.16
  4. Step 4: Simplify right side
    393.29x = 78,521.84
  5. Step 5: Solve for x
    x = 78,521.84/393.29
  6. Step 6: Final answer
    x = 199.66

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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.