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Finding the Fourth Proportional to 230.64, 345.34 and 169.08

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Solution

The fourth proportional to 230.64, 345.34 and 169.08 is: 253.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    230.64 : 345.34 = 169.08 : x
  2. Step 2: Convert to fraction form
    230.64/345.34 = 169.08/x
  3. Step 3: Cross multiply
    230.64x = 345.34 × 169.08
  4. Step 4: Simplify right side
    230.64x = 58,390.09
  5. Step 5: Solve for x
    x = 58,390.09/230.64
  6. Step 6: Final answer
    x = 253.17

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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.