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Finding the Fourth Proportional to 304.06, 419.58 and 173.05

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Solution

The fourth proportional to 304.06, 419.58 and 173.05 is: 238.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    304.06 : 419.58 = 173.05 : x
  2. Step 2: Convert to fraction form
    304.06/419.58 = 173.05/x
  3. Step 3: Cross multiply
    304.06x = 419.58 × 173.05
  4. Step 4: Simplify right side
    304.06x = 72,608.32
  5. Step 5: Solve for x
    x = 72,608.32/304.06
  6. Step 6: Final answer
    x = 238.80

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.