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Finding the Fourth Proportional to 154.82, 213.76 and 145.02

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Solution

The fourth proportional to 154.82, 213.76 and 145.02 is: 200.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    154.82 : 213.76 = 145.02 : x
  2. Step 2: Convert to fraction form
    154.82/213.76 = 145.02/x
  3. Step 3: Cross multiply
    154.82x = 213.76 × 145.02
  4. Step 4: Simplify right side
    154.82x = 30,999.48
  5. Step 5: Solve for x
    x = 30,999.48/154.82
  6. Step 6: Final answer
    x = 200.23

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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.