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Finding the Fourth Proportional to 176.23, 244.20 and 174.03

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Solution

The fourth proportional to 176.23, 244.20 and 174.03 is: 241.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    176.23 : 244.20 = 174.03 : x
  2. Step 2: Convert to fraction form
    176.23/244.20 = 174.03/x
  3. Step 3: Cross multiply
    176.23x = 244.20 × 174.03
  4. Step 4: Simplify right side
    176.23x = 42,498.26
  5. Step 5: Solve for x
    x = 42,498.26/176.23
  6. Step 6: Final answer
    x = 241.16

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.