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Finding the Fourth Proportional to 151.07, 208.98 and 145.60

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Solution

The fourth proportional to 151.07, 208.98 and 145.60 is: 201.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    151.07 : 208.98 = 145.60 : x
  2. Step 2: Convert to fraction form
    151.07/208.98 = 145.60/x
  3. Step 3: Cross multiply
    151.07x = 208.98 × 145.60
  4. Step 4: Simplify right side
    151.07x = 30,426.97
  5. Step 5: Solve for x
    x = 30,426.97/151.07
  6. Step 6: Final answer
    x = 201.42

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.