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Finding the Fourth Proportional to 174.84, 241.20 and 142.22

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Solution

The fourth proportional to 174.84, 241.20 and 142.22 is: 196.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    174.84 : 241.20 = 142.22 : x
  2. Step 2: Convert to fraction form
    174.84/241.20 = 142.22/x
  3. Step 3: Cross multiply
    174.84x = 241.20 × 142.22
  4. Step 4: Simplify right side
    174.84x = 34,303.46
  5. Step 5: Solve for x
    x = 34,303.46/174.84
  6. Step 6: Final answer
    x = 196.20

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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.