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Finding the Fourth Proportional to 175.51, 262.65 and 170.32

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Solution

The fourth proportional to 175.51, 262.65 and 170.32 is: 254.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    175.51 : 262.65 = 170.32 : x
  2. Step 2: Convert to fraction form
    175.51/262.65 = 170.32/x
  3. Step 3: Cross multiply
    175.51x = 262.65 × 170.32
  4. Step 4: Simplify right side
    175.51x = 44,732.92
  5. Step 5: Solve for x
    x = 44,732.92/175.51
  6. Step 6: Final answer
    x = 254.87

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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.