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Finding the Fourth Proportional to 380.67, 525.33 and 206.02

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Solution

The fourth proportional to 380.67, 525.33 and 206.02 is: 284.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    380.67 : 525.33 = 206.02 : x
  2. Step 2: Convert to fraction form
    380.67/525.33 = 206.02/x
  3. Step 3: Cross multiply
    380.67x = 525.33 × 206.02
  4. Step 4: Simplify right side
    380.67x = 108,225.86
  5. Step 5: Solve for x
    x = 108,225.86/380.67
  6. Step 6: Final answer
    x = 284.30

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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.