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Finding the Fourth Proportional to 380.70, 525.37 and 206.05

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Solution

The fourth proportional to 380.70, 525.37 and 206.05 is: 284.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    380.70 : 525.37 = 206.05 : x
  2. Step 2: Convert to fraction form
    380.70/525.37 = 206.05/x
  3. Step 3: Cross multiply
    380.70x = 525.37 × 206.05
  4. Step 4: Simplify right side
    380.70x = 108,250.06
  5. Step 5: Solve for x
    x = 108,250.06/380.70
  6. Step 6: Final answer
    x = 284.34

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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.