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Finding the Fourth Proportional to 254.59, 351.65 and 189.43

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Solution

The fourth proportional to 254.59, 351.65 and 189.43 is: 261.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    254.59 : 351.65 = 189.43 : x
  2. Step 2: Convert to fraction form
    254.59/351.65 = 189.43/x
  3. Step 3: Cross multiply
    254.59x = 351.65 × 189.43
  4. Step 4: Simplify right side
    254.59x = 66,613.06
  5. Step 5: Solve for x
    x = 66,613.06/254.59
  6. Step 6: Final answer
    x = 261.65

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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.