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Finding the Fourth Proportional to 175.42, 242.22 and 120.16

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Solution

The fourth proportional to 175.42, 242.22 and 120.16 is: 165.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    175.42 : 242.22 = 120.16 : x
  2. Step 2: Convert to fraction form
    175.42/242.22 = 120.16/x
  3. Step 3: Cross multiply
    175.42x = 242.22 × 120.16
  4. Step 4: Simplify right side
    175.42x = 29,105.16
  5. Step 5: Solve for x
    x = 29,105.16/175.42
  6. Step 6: Final answer
    x = 165.92

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.