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Finding the Fourth Proportional to 322.19, 482.81 and 200.08

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Solution

The fourth proportional to 322.19, 482.81 and 200.08 is: 299.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    322.19 : 482.81 = 200.08 : x
  2. Step 2: Convert to fraction form
    322.19/482.81 = 200.08/x
  3. Step 3: Cross multiply
    322.19x = 482.81 × 200.08
  4. Step 4: Simplify right side
    322.19x = 96,598.42
  5. Step 5: Solve for x
    x = 96,598.42/322.19
  6. Step 6: Final answer
    x = 299.82

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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.