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Finding the Fourth Proportional to 261.24, 360.51 and 143.22

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Solution

The fourth proportional to 261.24, 360.51 and 143.22 is: 197.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    261.24 : 360.51 = 143.22 : x
  2. Step 2: Convert to fraction form
    261.24/360.51 = 143.22/x
  3. Step 3: Cross multiply
    261.24x = 360.51 × 143.22
  4. Step 4: Simplify right side
    261.24x = 51,630.44
  5. Step 5: Solve for x
    x = 51,630.44/261.24
  6. Step 6: Final answer
    x = 197.64

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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.