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Finding the Fourth Proportional to 175.61, 263.18 and 164.06

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Solution

The fourth proportional to 175.61, 263.18 and 164.06 is: 245.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    175.61 : 263.18 = 164.06 : x
  2. Step 2: Convert to fraction form
    175.61/263.18 = 164.06/x
  3. Step 3: Cross multiply
    175.61x = 263.18 × 164.06
  4. Step 4: Simplify right side
    175.61x = 43,177.31
  5. Step 5: Solve for x
    x = 43,177.31/175.61
  6. Step 6: Final answer
    x = 245.87

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.