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Finding the Fourth Proportional to 175.94, 262.08 and 170.12

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Solution

The fourth proportional to 175.94, 262.08 and 170.12 is: 253.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    175.94 : 262.08 = 170.12 : x
  2. Step 2: Convert to fraction form
    175.94/262.08 = 170.12/x
  3. Step 3: Cross multiply
    175.94x = 262.08 × 170.12
  4. Step 4: Simplify right side
    175.94x = 44,585.05
  5. Step 5: Solve for x
    x = 44,585.05/175.94
  6. Step 6: Final answer
    x = 253.41

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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.