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Finding the Fourth Proportional to 174.84, 241.28 and 97.22

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Solution

The fourth proportional to 174.84, 241.28 and 97.22 is: 134.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    174.84 : 241.28 = 97.22 : x
  2. Step 2: Convert to fraction form
    174.84/241.28 = 97.22/x
  3. Step 3: Cross multiply
    174.84x = 241.28 × 97.22
  4. Step 4: Simplify right side
    174.84x = 23,457.24
  5. Step 5: Solve for x
    x = 23,457.24/174.84
  6. Step 6: Final answer
    x = 134.16

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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.