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Finding the Fourth Proportional to 175.74, 264.94 and 164.29

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Solution

The fourth proportional to 175.74, 264.94 and 164.29 is: 247.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    175.74 : 264.94 = 164.29 : x
  2. Step 2: Convert to fraction form
    175.74/264.94 = 164.29/x
  3. Step 3: Cross multiply
    175.74x = 264.94 × 164.29
  4. Step 4: Simplify right side
    175.74x = 43,526.99
  5. Step 5: Solve for x
    x = 43,526.99/175.74
  6. Step 6: Final answer
    x = 247.68

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.