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Finding the Fourth Proportional to 255.84, 384.24 and 198.24

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Solution

The fourth proportional to 255.84, 384.24 and 198.24 is: 297.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    255.84 : 384.24 = 198.24 : x
  2. Step 2: Convert to fraction form
    255.84/384.24 = 198.24/x
  3. Step 3: Cross multiply
    255.84x = 384.24 × 198.24
  4. Step 4: Simplify right side
    255.84x = 76,171.74
  5. Step 5: Solve for x
    x = 76,171.74/255.84
  6. Step 6: Final answer
    x = 297.73

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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.