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Finding the Fourth Proportional to 151.57, 208.47 and 131.55

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Solution

The fourth proportional to 151.57, 208.47 and 131.55 is: 180.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    151.57 : 208.47 = 131.55 : x
  2. Step 2: Convert to fraction form
    151.57/208.47 = 131.55/x
  3. Step 3: Cross multiply
    151.57x = 208.47 × 131.55
  4. Step 4: Simplify right side
    151.57x = 27,424.23
  5. Step 5: Solve for x
    x = 27,424.23/151.57
  6. Step 6: Final answer
    x = 180.93

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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.