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Finding the Fourth Proportional to 298.74, 412.14 and 205.47

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Solution

The fourth proportional to 298.74, 412.14 and 205.47 is: 283.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    298.74 : 412.14 = 205.47 : x
  2. Step 2: Convert to fraction form
    298.74/412.14 = 205.47/x
  3. Step 3: Cross multiply
    298.74x = 412.14 × 205.47
  4. Step 4: Simplify right side
    298.74x = 84,682.41
  5. Step 5: Solve for x
    x = 84,682.41/298.74
  6. Step 6: Final answer
    x = 283.47

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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.