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Finding the Fourth Proportional to 623.99, 935.84 and 185.12

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Solution

The fourth proportional to 623.99, 935.84 and 185.12 is: 277.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    623.99 : 935.84 = 185.12 : x
  2. Step 2: Convert to fraction form
    623.99/935.84 = 185.12/x
  3. Step 3: Cross multiply
    623.99x = 935.84 × 185.12
  4. Step 4: Simplify right side
    623.99x = 173,241.99
  5. Step 5: Solve for x
    x = 173,241.99/623.99
  6. Step 6: Final answer
    x = 277.63

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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.