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Finding the Fourth Proportional to 154.64, 212.13 and 145.82

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Solution

The fourth proportional to 154.64, 212.13 and 145.82 is: 200.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    154.64 : 212.13 = 145.82 : x
  2. Step 2: Convert to fraction form
    154.64/212.13 = 145.82/x
  3. Step 3: Cross multiply
    154.64x = 212.13 × 145.82
  4. Step 4: Simplify right side
    154.64x = 30,932.80
  5. Step 5: Solve for x
    x = 30,932.80/154.64
  6. Step 6: Final answer
    x = 200.03

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.