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Finding the Fourth Proportional to 284.04, 425.58 and 206.84

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Solution

The fourth proportional to 284.04, 425.58 and 206.84 is: 309.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    284.04 : 425.58 = 206.84 : x
  2. Step 2: Convert to fraction form
    284.04/425.58 = 206.84/x
  3. Step 3: Cross multiply
    284.04x = 425.58 × 206.84
  4. Step 4: Simplify right side
    284.04x = 88,026.97
  5. Step 5: Solve for x
    x = 88,026.97/284.04
  6. Step 6: Final answer
    x = 309.91

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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.