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Finding the Fourth Proportional to 261.23, 360.40 and 198.96

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Solution

The fourth proportional to 261.23, 360.40 and 198.96 is: 274.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    261.23 : 360.40 = 198.96 : x
  2. Step 2: Convert to fraction form
    261.23/360.40 = 198.96/x
  3. Step 3: Cross multiply
    261.23x = 360.40 × 198.96
  4. Step 4: Simplify right side
    261.23x = 71,703.71
  5. Step 5: Solve for x
    x = 71,703.71/261.23
  6. Step 6: Final answer
    x = 274.49

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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.