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Finding the Fourth Proportional to 310.26, 428.14 and 185.98

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Solution

The fourth proportional to 310.26, 428.14 and 185.98 is: 256.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    310.26 : 428.14 = 185.98 : x
  2. Step 2: Convert to fraction form
    310.26/428.14 = 185.98/x
  3. Step 3: Cross multiply
    310.26x = 428.14 × 185.98
  4. Step 4: Simplify right side
    310.26x = 79,623.94
  5. Step 5: Solve for x
    x = 79,623.94/310.26
  6. Step 6: Final answer
    x = 256.64

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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.