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Finding the Fourth Proportional to 310.37, 428.42 and 186.07

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Solution

The fourth proportional to 310.37, 428.42 and 186.07 is: 256.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    310.37 : 428.42 = 186.07 : x
  2. Step 2: Convert to fraction form
    310.37/428.42 = 186.07/x
  3. Step 3: Cross multiply
    310.37x = 428.42 × 186.07
  4. Step 4: Simplify right side
    310.37x = 79,716.11
  5. Step 5: Solve for x
    x = 79,716.11/310.37
  6. Step 6: Final answer
    x = 256.84

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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.