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Finding the Fourth Proportional to 261.30, 360.50 and 208.83

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Solution

The fourth proportional to 261.30, 360.50 and 208.83 is: 288.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    261.30 : 360.50 = 208.83 : x
  2. Step 2: Convert to fraction form
    261.30/360.50 = 208.83/x
  3. Step 3: Cross multiply
    261.30x = 360.50 × 208.83
  4. Step 4: Simplify right side
    261.30x = 75,282.17
  5. Step 5: Solve for x
    x = 75,282.17/261.30
  6. Step 6: Final answer
    x = 288.11

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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.