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Finding the Fourth Proportional to 436.60, 654.55 and 162.54

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Solution

The fourth proportional to 436.60, 654.55 and 162.54 is: 243.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    436.60 : 654.55 = 162.54 : x
  2. Step 2: Convert to fraction form
    436.60/654.55 = 162.54/x
  3. Step 3: Cross multiply
    436.60x = 654.55 × 162.54
  4. Step 4: Simplify right side
    436.60x = 106,391.06
  5. Step 5: Solve for x
    x = 106,391.06/436.60
  6. Step 6: Final answer
    x = 243.68

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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.