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Finding the Fourth Proportional to 175.50, 241.95 and 120.37

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Solution

The fourth proportional to 175.50, 241.95 and 120.37 is: 165.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    175.50 : 241.95 = 120.37 : x
  2. Step 2: Convert to fraction form
    175.50/241.95 = 120.37/x
  3. Step 3: Cross multiply
    175.50x = 241.95 × 120.37
  4. Step 4: Simplify right side
    175.50x = 29,123.52
  5. Step 5: Solve for x
    x = 29,123.52/175.50
  6. Step 6: Final answer
    x = 165.95

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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.