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Finding the Fourth Proportional to 309.98, 464.67 and 114.84

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Solution

The fourth proportional to 309.98, 464.67 and 114.84 is: 172.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    309.98 : 464.67 = 114.84 : x
  2. Step 2: Convert to fraction form
    309.98/464.67 = 114.84/x
  3. Step 3: Cross multiply
    309.98x = 464.67 × 114.84
  4. Step 4: Simplify right side
    309.98x = 53,362.70
  5. Step 5: Solve for x
    x = 53,362.70/309.98
  6. Step 6: Final answer
    x = 172.15

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.