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Finding the Fourth Proportional to 175.23, 261.17 and 174.96

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Solution

The fourth proportional to 175.23, 261.17 and 174.96 is: 260.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    175.23 : 261.17 = 174.96 : x
  2. Step 2: Convert to fraction form
    175.23/261.17 = 174.96/x
  3. Step 3: Cross multiply
    175.23x = 261.17 × 174.96
  4. Step 4: Simplify right side
    175.23x = 45,693.43
  5. Step 5: Solve for x
    x = 45,693.43/175.23
  6. Step 6: Final answer
    x = 260.76

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.