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Finding the Fourth Proportional to 230.32, 345.18 and 169.48

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Solution

The fourth proportional to 230.32, 345.18 and 169.48 is: 254.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    230.32 : 345.18 = 169.48 : x
  2. Step 2: Convert to fraction form
    230.32/345.18 = 169.48/x
  3. Step 3: Cross multiply
    230.32x = 345.18 × 169.48
  4. Step 4: Simplify right side
    230.32x = 58,501.11
  5. Step 5: Solve for x
    x = 58,501.11/230.32
  6. Step 6: Final answer
    x = 254.00

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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.