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Finding the Fourth Proportional to 151.50, 207.80 and 144.42

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Solution

The fourth proportional to 151.50, 207.80 and 144.42 is: 198.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    151.50 : 207.80 = 144.42 : x
  2. Step 2: Convert to fraction form
    151.50/207.80 = 144.42/x
  3. Step 3: Cross multiply
    151.50x = 207.80 × 144.42
  4. Step 4: Simplify right side
    151.50x = 30,009.52
  5. Step 5: Solve for x
    x = 30,009.52/151.50
  6. Step 6: Final answer
    x = 198.08

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.