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Finding the Fourth Proportional to 380.83, 525.54 and 206.17

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Solution

The fourth proportional to 380.83, 525.54 and 206.17 is: 284.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    380.83 : 525.54 = 206.17 : x
  2. Step 2: Convert to fraction form
    380.83/525.54 = 206.17/x
  3. Step 3: Cross multiply
    380.83x = 525.54 × 206.17
  4. Step 4: Simplify right side
    380.83x = 108,353.00
  5. Step 5: Solve for x
    x = 108,353.00/380.83
  6. Step 6: Final answer
    x = 284.52

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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.