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Finding the Fourth Proportional to 233.19, 350.24 and 172.08

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Solution

The fourth proportional to 233.19, 350.24 and 172.08 is: 258.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    233.19 : 350.24 = 172.08 : x
  2. Step 2: Convert to fraction form
    233.19/350.24 = 172.08/x
  3. Step 3: Cross multiply
    233.19x = 350.24 × 172.08
  4. Step 4: Simplify right side
    233.19x = 60,268.44
  5. Step 5: Solve for x
    x = 60,268.44/233.19
  6. Step 6: Final answer
    x = 258.45

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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.