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Finding the Fourth Proportional to 309.00, 463.46 and 92.53

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Solution

The fourth proportional to 309.00, 463.46 and 92.53 is: 138.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    309.00 : 463.46 = 92.53 : x
  2. Step 2: Convert to fraction form
    309.00/463.46 = 92.53/x
  3. Step 3: Cross multiply
    309.00x = 463.46 × 92.53
  4. Step 4: Simplify right side
    309.00x = 42,884.07
  5. Step 5: Solve for x
    x = 42,884.07/309.00
  6. Step 6: Final answer
    x = 138.78

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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.