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Finding the Fourth Proportional to 436.23, 654.54 and 162.26

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Solution

The fourth proportional to 436.23, 654.54 and 162.26 is: 243.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    436.23 : 654.54 = 162.26 : x
  2. Step 2: Convert to fraction form
    436.23/654.54 = 162.26/x
  3. Step 3: Cross multiply
    436.23x = 654.54 × 162.26
  4. Step 4: Simplify right side
    436.23x = 106,204.85
  5. Step 5: Solve for x
    x = 106,204.85/436.23
  6. Step 6: Final answer
    x = 243.46

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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.