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Finding the Fourth Proportional to 177.23, 244.54 and 103.50

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Solution

The fourth proportional to 177.23, 244.54 and 103.50 is: 142.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    177.23 : 244.54 = 103.50 : x
  2. Step 2: Convert to fraction form
    177.23/244.54 = 103.50/x
  3. Step 3: Cross multiply
    177.23x = 244.54 × 103.50
  4. Step 4: Simplify right side
    177.23x = 25,309.63
  5. Step 5: Solve for x
    x = 25,309.63/177.23
  6. Step 6: Final answer
    x = 142.80

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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.