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Finding the Fourth Proportional to 261.58, 360.96 and 143.54

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Solution

The fourth proportional to 261.58, 360.96 and 143.54 is: 198.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    261.58 : 360.96 = 143.54 : x
  2. Step 2: Convert to fraction form
    261.58/360.96 = 143.54/x
  3. Step 3: Cross multiply
    261.58x = 360.96 × 143.54
  4. Step 4: Simplify right side
    261.58x = 51,810.39
  5. Step 5: Solve for x
    x = 51,810.39/261.58
  6. Step 6: Final answer
    x = 198.07

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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.