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Finding the Fourth Proportional to 310.08, 428.01 and 185.83

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Solution

The fourth proportional to 310.08, 428.01 and 185.83 is: 256.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    310.08 : 428.01 = 185.83 : x
  2. Step 2: Convert to fraction form
    310.08/428.01 = 185.83/x
  3. Step 3: Cross multiply
    310.08x = 428.01 × 185.83
  4. Step 4: Simplify right side
    310.08x = 79,535.33
  5. Step 5: Solve for x
    x = 79,535.33/310.08
  6. Step 6: Final answer
    x = 256.50

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.