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Finding the Fourth Proportional to 261.30, 360.64 and 150.78

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Solution

The fourth proportional to 261.30, 360.64 and 150.78 is: 208.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    261.30 : 360.64 = 150.78 : x
  2. Step 2: Convert to fraction form
    261.30/360.64 = 150.78/x
  3. Step 3: Cross multiply
    261.30x = 360.64 × 150.78
  4. Step 4: Simplify right side
    261.30x = 54,375.57
  5. Step 5: Solve for x
    x = 54,375.57/261.30
  6. Step 6: Final answer
    x = 208.09

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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.