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Finding the Fourth Proportional to 261.32, 360.53 and 163.07

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Solution

The fourth proportional to 261.32, 360.53 and 163.07 is: 224.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    261.32 : 360.53 = 163.07 : x
  2. Step 2: Convert to fraction form
    261.32/360.53 = 163.07/x
  3. Step 3: Cross multiply
    261.32x = 360.53 × 163.07
  4. Step 4: Simplify right side
    261.32x = 58,791.58
  5. Step 5: Solve for x
    x = 58,791.58/261.32
  6. Step 6: Final answer
    x = 224.98

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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.