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Finding the Fourth Proportional to 252.05, 377.63 and 154.50

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Solution

The fourth proportional to 252.05, 377.63 and 154.50 is: 231.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    252.05 : 377.63 = 154.50 : x
  2. Step 2: Convert to fraction form
    252.05/377.63 = 154.50/x
  3. Step 3: Cross multiply
    252.05x = 377.63 × 154.50
  4. Step 4: Simplify right side
    252.05x = 58,343.06
  5. Step 5: Solve for x
    x = 58,343.06/252.05
  6. Step 6: Final answer
    x = 231.48

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.