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Finding the Fourth Proportional to 261.83, 360.90 and 206.48

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Solution

The fourth proportional to 261.83, 360.90 and 206.48 is: 284.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    261.83 : 360.90 = 206.48 : x
  2. Step 2: Convert to fraction form
    261.83/360.90 = 206.48/x
  3. Step 3: Cross multiply
    261.83x = 360.90 × 206.48
  4. Step 4: Simplify right side
    261.83x = 74,516.83
  5. Step 5: Solve for x
    x = 74,516.83/261.83
  6. Step 6: Final answer
    x = 284.61

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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.