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Finding the Fourth Proportional to 255.84, 352.62 and 206.52

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Solution

The fourth proportional to 255.84, 352.62 and 206.52 is: 284.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    255.84 : 352.62 = 206.52 : x
  2. Step 2: Convert to fraction form
    255.84/352.62 = 206.52/x
  3. Step 3: Cross multiply
    255.84x = 352.62 × 206.52
  4. Step 4: Simplify right side
    255.84x = 72,823.08
  5. Step 5: Solve for x
    x = 72,823.08/255.84
  6. Step 6: Final answer
    x = 284.64

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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.