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Finding the Fourth Proportional to 261.12, 360.24 and 192.24

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Solution

The fourth proportional to 261.12, 360.24 and 192.24 is: 265.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    261.12 : 360.24 = 192.24 : x
  2. Step 2: Convert to fraction form
    261.12/360.24 = 192.24/x
  3. Step 3: Cross multiply
    261.12x = 360.24 × 192.24
  4. Step 4: Simplify right side
    261.12x = 69,252.54
  5. Step 5: Solve for x
    x = 69,252.54/261.12
  6. Step 6: Final answer
    x = 265.21

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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.