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Finding the Fourth Proportional to 260.97, 360.14 and 144.53

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Solution

The fourth proportional to 260.97, 360.14 and 144.53 is: 199.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    260.97 : 360.14 = 144.53 : x
  2. Step 2: Convert to fraction form
    260.97/360.14 = 144.53/x
  3. Step 3: Cross multiply
    260.97x = 360.14 × 144.53
  4. Step 4: Simplify right side
    260.97x = 52,051.57
  5. Step 5: Solve for x
    x = 52,051.57/260.97
  6. Step 6: Final answer
    x = 199.45

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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.