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Finding the Fourth Proportional to 304.42, 419.61 and 206.14

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Solution

The fourth proportional to 304.42, 419.61 and 206.14 is: 284.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    304.42 : 419.61 = 206.14 : x
  2. Step 2: Convert to fraction form
    304.42/419.61 = 206.14/x
  3. Step 3: Cross multiply
    304.42x = 419.61 × 206.14
  4. Step 4: Simplify right side
    304.42x = 86,498.41
  5. Step 5: Solve for x
    x = 86,498.41/304.42
  6. Step 6: Final answer
    x = 284.14

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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.