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Finding the Fourth Proportional to 175.23, 241.77 and 105.30

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Solution

The fourth proportional to 175.23, 241.77 and 105.30 is: 145.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    175.23 : 241.77 = 105.30 : x
  2. Step 2: Convert to fraction form
    175.23/241.77 = 105.30/x
  3. Step 3: Cross multiply
    175.23x = 241.77 × 105.30
  4. Step 4: Simplify right side
    175.23x = 25,458.38
  5. Step 5: Solve for x
    x = 25,458.38/175.23
  6. Step 6: Final answer
    x = 145.29

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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.