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Finding the Fourth Proportional to 173.41, 258.89 and 146.07

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Solution

The fourth proportional to 173.41, 258.89 and 146.07 is: 218.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    173.41 : 258.89 = 146.07 : x
  2. Step 2: Convert to fraction form
    173.41/258.89 = 146.07/x
  3. Step 3: Cross multiply
    173.41x = 258.89 × 146.07
  4. Step 4: Simplify right side
    173.41x = 37,815.33
  5. Step 5: Solve for x
    x = 37,815.33/173.41
  6. Step 6: Final answer
    x = 218.07

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.