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Finding the Fourth Proportional to 309.99, 464.95 and 93.57

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Solution

The fourth proportional to 309.99, 464.95 and 93.57 is: 140.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    309.99 : 464.95 = 93.57 : x
  2. Step 2: Convert to fraction form
    309.99/464.95 = 93.57/x
  3. Step 3: Cross multiply
    309.99x = 464.95 × 93.57
  4. Step 4: Simplify right side
    309.99x = 43,504.90
  5. Step 5: Solve for x
    x = 43,504.90/309.99
  6. Step 6: Final answer
    x = 140.34

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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.