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Finding the Fourth Proportional to 175.43, 242.21 and 120.15

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Solution

The fourth proportional to 175.43, 242.21 and 120.15 is: 165.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    175.43 : 242.21 = 120.15 : x
  2. Step 2: Convert to fraction form
    175.43/242.21 = 120.15/x
  3. Step 3: Cross multiply
    175.43x = 242.21 × 120.15
  4. Step 4: Simplify right side
    175.43x = 29,101.53
  5. Step 5: Solve for x
    x = 29,101.53/175.43
  6. Step 6: Final answer
    x = 165.89

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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.