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Finding the Fourth Proportional to 154.80, 231.08 and 143.54

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Solution

The fourth proportional to 154.80, 231.08 and 143.54 is: 214.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    154.80 : 231.08 = 143.54 : x
  2. Step 2: Convert to fraction form
    154.80/231.08 = 143.54/x
  3. Step 3: Cross multiply
    154.80x = 231.08 × 143.54
  4. Step 4: Simplify right side
    154.80x = 33,169.22
  5. Step 5: Solve for x
    x = 33,169.22/154.80
  6. Step 6: Final answer
    x = 214.27

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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.