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Finding the Fourth Proportional to 176.94, 244.08 and 103.22

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Solution

The fourth proportional to 176.94, 244.08 and 103.22 is: 142.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    176.94 : 244.08 = 103.22 : x
  2. Step 2: Convert to fraction form
    176.94/244.08 = 103.22/x
  3. Step 3: Cross multiply
    176.94x = 244.08 × 103.22
  4. Step 4: Simplify right side
    176.94x = 25,193.10
  5. Step 5: Solve for x
    x = 25,193.10/176.94
  6. Step 6: Final answer
    x = 142.38

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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.