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Finding the Fourth Proportional to 354.06, 488.54 and 206.68

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Solution

The fourth proportional to 354.06, 488.54 and 206.68 is: 285.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    354.06 : 488.54 = 206.68 : x
  2. Step 2: Convert to fraction form
    354.06/488.54 = 206.68/x
  3. Step 3: Cross multiply
    354.06x = 488.54 × 206.68
  4. Step 4: Simplify right side
    354.06x = 100,971.45
  5. Step 5: Solve for x
    x = 100,971.45/354.06
  6. Step 6: Final answer
    x = 285.18

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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.