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Finding the Fourth Proportional to 151.47, 208.78 and 120.42

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Solution

The fourth proportional to 151.47, 208.78 and 120.42 is: 165.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    151.47 : 208.78 = 120.42 : x
  2. Step 2: Convert to fraction form
    151.47/208.78 = 120.42/x
  3. Step 3: Cross multiply
    151.47x = 208.78 × 120.42
  4. Step 4: Simplify right side
    151.47x = 25,140.99
  5. Step 5: Solve for x
    x = 25,140.99/151.47
  6. Step 6: Final answer
    x = 165.98

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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.