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Finding the Fourth Proportional to 589.22, 883.81 and 199.16

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Solution

The fourth proportional to 589.22, 883.81 and 199.16 is: 298.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    589.22 : 883.81 = 199.16 : x
  2. Step 2: Convert to fraction form
    589.22/883.81 = 199.16/x
  3. Step 3: Cross multiply
    589.22x = 883.81 × 199.16
  4. Step 4: Simplify right side
    589.22x = 176,018.74
  5. Step 5: Solve for x
    x = 176,018.74/589.22
  6. Step 6: Final answer
    x = 298.73

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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.