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Finding the Fourth Proportional to 151.40, 208.74 and 144.04

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Solution

The fourth proportional to 151.40, 208.74 and 144.04 is: 198.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    151.40 : 208.74 = 144.04 : x
  2. Step 2: Convert to fraction form
    151.40/208.74 = 144.04/x
  3. Step 3: Cross multiply
    151.40x = 208.74 × 144.04
  4. Step 4: Simplify right side
    151.40x = 30,066.91
  5. Step 5: Solve for x
    x = 30,066.91/151.40
  6. Step 6: Final answer
    x = 198.59

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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.