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Finding the Fourth Proportional to 230.37, 345.35 and 162.33

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Solution

The fourth proportional to 230.37, 345.35 and 162.33 is: 243.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    230.37 : 345.35 = 162.33 : x
  2. Step 2: Convert to fraction form
    230.37/345.35 = 162.33/x
  3. Step 3: Cross multiply
    230.37x = 345.35 × 162.33
  4. Step 4: Simplify right side
    230.37x = 56,058.13
  5. Step 5: Solve for x
    x = 56,058.13/230.37
  6. Step 6: Final answer
    x = 243.34

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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.