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Finding the Fourth Proportional to 245.74, 369.14 and 154.50

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Solution

The fourth proportional to 245.74, 369.14 and 154.50 is: 232.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    245.74 : 369.14 = 154.50 : x
  2. Step 2: Convert to fraction form
    245.74/369.14 = 154.50/x
  3. Step 3: Cross multiply
    245.74x = 369.14 × 154.50
  4. Step 4: Simplify right side
    245.74x = 57,033.44
  5. Step 5: Solve for x
    x = 57,033.44/245.74
  6. Step 6: Final answer
    x = 232.09

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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.