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Finding the Fourth Proportional to 151.25, 208.31 and 135.77

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Solution

The fourth proportional to 151.25, 208.31 and 135.77 is: 186.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    151.25 : 208.31 = 135.77 : x
  2. Step 2: Convert to fraction form
    151.25/208.31 = 135.77/x
  3. Step 3: Cross multiply
    151.25x = 208.31 × 135.77
  4. Step 4: Simplify right side
    151.25x = 28,280.53
  5. Step 5: Solve for x
    x = 28,280.53/151.25
  6. Step 6: Final answer
    x = 186.98

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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.