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Finding the Fourth Proportional to 175.23, 261.36 and 165.24

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Solution

The fourth proportional to 175.23, 261.36 and 165.24 is: 246.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    175.23 : 261.36 = 165.24 : x
  2. Step 2: Convert to fraction form
    175.23/261.36 = 165.24/x
  3. Step 3: Cross multiply
    175.23x = 261.36 × 165.24
  4. Step 4: Simplify right side
    175.23x = 43,187.13
  5. Step 5: Solve for x
    x = 43,187.13/175.23
  6. Step 6: Final answer
    x = 246.46

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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.