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Finding the Fourth Proportional to 303.92, 419.58 and 205.82

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Solution

The fourth proportional to 303.92, 419.58 and 205.82 is: 284.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    303.92 : 419.58 = 205.82 : x
  2. Step 2: Convert to fraction form
    303.92/419.58 = 205.82/x
  3. Step 3: Cross multiply
    303.92x = 419.58 × 205.82
  4. Step 4: Simplify right side
    303.92x = 86,355.86
  5. Step 5: Solve for x
    x = 86,355.86/303.92
  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.