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Finding the Fourth Proportional to 233.46, 351.42 and 172.98

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Solution

The fourth proportional to 233.46, 351.42 and 172.98 is: 260.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    233.46 : 351.42 = 172.98 : x
  2. Step 2: Convert to fraction form
    233.46/351.42 = 172.98/x
  3. Step 3: Cross multiply
    233.46x = 351.42 × 172.98
  4. Step 4: Simplify right side
    233.46x = 60,788.63
  5. Step 5: Solve for x
    x = 60,788.63/233.46
  6. Step 6: Final answer
    x = 260.38

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.