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Finding the Fourth Proportional to 175.76, 263.92 and 174.64

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Solution

The fourth proportional to 175.76, 263.92 and 174.64 is: 262.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    175.76 : 263.92 = 174.64 : x
  2. Step 2: Convert to fraction form
    175.76/263.92 = 174.64/x
  3. Step 3: Cross multiply
    175.76x = 263.92 × 174.64
  4. Step 4: Simplify right side
    175.76x = 46,090.99
  5. Step 5: Solve for x
    x = 46,090.99/175.76
  6. Step 6: Final answer
    x = 262.24

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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.