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Finding the Fourth Proportional to 393.24, 589.40 and 162.02

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Solution

The fourth proportional to 393.24, 589.40 and 162.02 is: 242.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    393.24 : 589.40 = 162.02 : x
  2. Step 2: Convert to fraction form
    393.24/589.40 = 162.02/x
  3. Step 3: Cross multiply
    393.24x = 589.40 × 162.02
  4. Step 4: Simplify right side
    393.24x = 95,490.83
  5. Step 5: Solve for x
    x = 95,490.83/393.24
  6. Step 6: Final answer
    x = 242.83

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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.