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Finding the Fourth Proportional to 274.84, 412.25 and 82.45

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Solution

The fourth proportional to 274.84, 412.25 and 82.45 is: 123.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    274.84 : 412.25 = 82.45 : x
  2. Step 2: Convert to fraction form
    274.84/412.25 = 82.45/x
  3. Step 3: Cross multiply
    274.84x = 412.25 × 82.45
  4. Step 4: Simplify right side
    274.84x = 33,990.01
  5. Step 5: Solve for x
    x = 33,990.01/274.84
  6. Step 6: Final answer
    x = 123.67

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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.