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Finding the Fourth Proportional to 304.18, 419.90 and 206.22

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Solution

The fourth proportional to 304.18, 419.90 and 206.22 is: 284.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    304.18 : 419.90 = 206.22 : x
  2. Step 2: Convert to fraction form
    304.18/419.90 = 206.22/x
  3. Step 3: Cross multiply
    304.18x = 419.90 × 206.22
  4. Step 4: Simplify right side
    304.18x = 86,591.78
  5. Step 5: Solve for x
    x = 86,591.78/304.18
  6. Step 6: Final answer
    x = 284.67

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.