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Finding the Fourth Proportional to 176.80, 244.01 and 103.14

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Solution

The fourth proportional to 176.80, 244.01 and 103.14 is: 142.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    176.80 : 244.01 = 103.14 : x
  2. Step 2: Convert to fraction form
    176.80/244.01 = 103.14/x
  3. Step 3: Cross multiply
    176.80x = 244.01 × 103.14
  4. Step 4: Simplify right side
    176.80x = 25,166.68
  5. Step 5: Solve for x
    x = 25,166.68/176.80
  6. Step 6: Final answer
    x = 142.35

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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.