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Finding the Fourth Proportional to 309.42, 464.06 and 92.94

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Solution

The fourth proportional to 309.42, 464.06 and 92.94 is: 139.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    309.42 : 464.06 = 92.94 : x
  2. Step 2: Convert to fraction form
    309.42/464.06 = 92.94/x
  3. Step 3: Cross multiply
    309.42x = 464.06 × 92.94
  4. Step 4: Simplify right side
    309.42x = 43,129.74
  5. Step 5: Solve for x
    x = 43,129.74/309.42
  6. Step 6: Final answer
    x = 139.39

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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.