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Finding the Fourth Proportional to 254.64, 351.18 and 166.14

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Solution

The fourth proportional to 254.64, 351.18 and 166.14 is: 229.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    254.64 : 351.18 = 166.14 : x
  2. Step 2: Convert to fraction form
    254.64/351.18 = 166.14/x
  3. Step 3: Cross multiply
    254.64x = 351.18 × 166.14
  4. Step 4: Simplify right side
    254.64x = 58,345.05
  5. Step 5: Solve for x
    x = 58,345.05/254.64
  6. Step 6: Final answer
    x = 229.13

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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.