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Finding the Fourth Proportional to 310.03, 427.91 and 185.80

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Solution

The fourth proportional to 310.03, 427.91 and 185.80 is: 256.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    310.03 : 427.91 = 185.80 : x
  2. Step 2: Convert to fraction form
    310.03/427.91 = 185.80/x
  3. Step 3: Cross multiply
    310.03x = 427.91 × 185.80
  4. Step 4: Simplify right side
    310.03x = 79,505.68
  5. Step 5: Solve for x
    x = 79,505.68/310.03
  6. Step 6: Final answer
    x = 256.45

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