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Finding the Fourth Proportional to 309.95, 464.97 and 93.55

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Solution

The fourth proportional to 309.95, 464.97 and 93.55 is: 140.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    309.95 : 464.97 = 93.55 : x
  2. Step 2: Convert to fraction form
    309.95/464.97 = 93.55/x
  3. Step 3: Cross multiply
    309.95x = 464.97 × 93.55
  4. Step 4: Simplify right side
    309.95x = 43,497.13
  5. Step 5: Solve for x
    x = 43,497.13/309.95
  6. Step 6: Final answer
    x = 140.33

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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.