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Finding the Fourth Proportional to 254.87, 351.65 and 166.46

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Solution

The fourth proportional to 254.87, 351.65 and 166.46 is: 229.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    254.87 : 351.65 = 166.46 : x
  2. Step 2: Convert to fraction form
    254.87/351.65 = 166.46/x
  3. Step 3: Cross multiply
    254.87x = 351.65 × 166.46
  4. Step 4: Simplify right side
    254.87x = 58,533.07
  5. Step 5: Solve for x
    x = 58,533.07/254.87
  6. Step 6: Final answer
    x = 229.66

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.