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Finding the Fourth Proportional to 170.94, 254.64 and 161.63

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Solution

The fourth proportional to 170.94, 254.64 and 161.63 is: 240.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    170.94 : 254.64 = 161.63 : x
  2. Step 2: Convert to fraction form
    170.94/254.64 = 161.63/x
  3. Step 3: Cross multiply
    170.94x = 254.64 × 161.63
  4. Step 4: Simplify right side
    170.94x = 41,157.46
  5. Step 5: Solve for x
    x = 41,157.46/170.94
  6. Step 6: Final answer
    x = 240.77

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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.