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Finding the Fourth Proportional to 170.63, 254.48 and 154.23

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Solution

The fourth proportional to 170.63, 254.48 and 154.23 is: 230.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    170.63 : 254.48 = 154.23 : x
  2. Step 2: Convert to fraction form
    170.63/254.48 = 154.23/x
  3. Step 3: Cross multiply
    170.63x = 254.48 × 154.23
  4. Step 4: Simplify right side
    170.63x = 39,247.68
  5. Step 5: Solve for x
    x = 39,247.68/170.63
  6. Step 6: Final answer
    x = 230.02

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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.