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Finding the Fourth Proportional to 151.41, 208.97 and 146.34

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Solution

The fourth proportional to 151.41, 208.97 and 146.34 is: 201.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    151.41 : 208.97 = 146.34 : x
  2. Step 2: Convert to fraction form
    151.41/208.97 = 146.34/x
  3. Step 3: Cross multiply
    151.41x = 208.97 × 146.34
  4. Step 4: Simplify right side
    151.41x = 30,580.67
  5. Step 5: Solve for x
    x = 30,580.67/151.41
  6. Step 6: Final answer
    x = 201.97

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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.