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Finding the Fourth Proportional to 436.37, 654.54 and 162.38

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Solution

The fourth proportional to 436.37, 654.54 and 162.38 is: 243.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    436.37 : 654.54 = 162.38 : x
  2. Step 2: Convert to fraction form
    436.37/654.54 = 162.38/x
  3. Step 3: Cross multiply
    436.37x = 654.54 × 162.38
  4. Step 4: Simplify right side
    436.37x = 106,285.84
  5. Step 5: Solve for x
    x = 106,285.84/436.37
  6. Step 6: Final answer
    x = 243.57

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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.