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Finding the Fourth Proportional to 292.26, 436.42 and 246.22

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Solution

The fourth proportional to 292.26, 436.42 and 246.22 is: 367.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    292.26 : 436.42 = 246.22 : x
  2. Step 2: Convert to fraction form
    292.26/436.42 = 246.22/x
  3. Step 3: Cross multiply
    292.26x = 436.42 × 246.22
  4. Step 4: Simplify right side
    292.26x = 107,455.33
  5. Step 5: Solve for x
    x = 107,455.33/292.26
  6. Step 6: Final answer
    x = 367.67

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.