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Finding the Fourth Proportional to 309.93, 464.95 and 114.89

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Solution

The fourth proportional to 309.93, 464.95 and 114.89 is: 172.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    309.93 : 464.95 = 114.89 : x
  2. Step 2: Convert to fraction form
    309.93/464.95 = 114.89/x
  3. Step 3: Cross multiply
    309.93x = 464.95 × 114.89
  4. Step 4: Simplify right side
    309.93x = 53,418.11
  5. Step 5: Solve for x
    x = 53,418.11/309.93
  6. Step 6: Final answer
    x = 172.36

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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.