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Finding the Fourth Proportional to 309.88, 427.63 and 185.54

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Solution

The fourth proportional to 309.88, 427.63 and 185.54 is: 256.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    309.88 : 427.63 = 185.54 : x
  2. Step 2: Convert to fraction form
    309.88/427.63 = 185.54/x
  3. Step 3: Cross multiply
    309.88x = 427.63 × 185.54
  4. Step 4: Simplify right side
    309.88x = 79,342.47
  5. Step 5: Solve for x
    x = 79,342.47/309.88
  6. Step 6: Final answer
    x = 256.05

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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.