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Finding the Fourth Proportional to 151.51, 208.83 and 112.63

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Solution

The fourth proportional to 151.51, 208.83 and 112.63 is: 155.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    151.51 : 208.83 = 112.63 : x
  2. Step 2: Convert to fraction form
    151.51/208.83 = 112.63/x
  3. Step 3: Cross multiply
    151.51x = 208.83 × 112.63
  4. Step 4: Simplify right side
    151.51x = 23,520.52
  5. Step 5: Solve for x
    x = 23,520.52/151.51
  6. Step 6: Final answer
    x = 155.24

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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.