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Finding the Fourth Proportional to 151.24, 208.78 and 95.24

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Solution

The fourth proportional to 151.24, 208.78 and 95.24 is: 131.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    151.24 : 208.78 = 95.24 : x
  2. Step 2: Convert to fraction form
    151.24/208.78 = 95.24/x
  3. Step 3: Cross multiply
    151.24x = 208.78 × 95.24
  4. Step 4: Simplify right side
    151.24x = 19,884.21
  5. Step 5: Solve for x
    x = 19,884.21/151.24
  6. Step 6: Final answer
    x = 131.47

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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.