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Finding the Fourth Proportional to 624.51, 936.76 and 162.25

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Solution

The fourth proportional to 624.51, 936.76 and 162.25 is: 243.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    624.51 : 936.76 = 162.25 : x
  2. Step 2: Convert to fraction form
    624.51/936.76 = 162.25/x
  3. Step 3: Cross multiply
    624.51x = 936.76 × 162.25
  4. Step 4: Simplify right side
    624.51x = 151,986.87
  5. Step 5: Solve for x
    x = 151,986.87/624.51
  6. Step 6: Final answer
    x = 243.37

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.