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Finding the Fourth Proportional to 309.80, 464.72 and 114.84

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Solution

The fourth proportional to 309.80, 464.72 and 114.84 is: 172.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    309.80 : 464.72 = 114.84 : x
  2. Step 2: Convert to fraction form
    309.80/464.72 = 114.84/x
  3. Step 3: Cross multiply
    309.80x = 464.72 × 114.84
  4. Step 4: Simplify right side
    309.80x = 53,368.44
  5. Step 5: Solve for x
    x = 53,368.44/309.80
  6. Step 6: Final answer
    x = 172.27

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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.