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Finding the Fourth Proportional to 259.01, 387.97 and 189.55

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Solution

The fourth proportional to 259.01, 387.97 and 189.55 is: 283.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    259.01 : 387.97 = 189.55 : x
  2. Step 2: Convert to fraction form
    259.01/387.97 = 189.55/x
  3. Step 3: Cross multiply
    259.01x = 387.97 × 189.55
  4. Step 4: Simplify right side
    259.01x = 73,539.71
  5. Step 5: Solve for x
    x = 73,539.71/259.01
  6. Step 6: Final answer
    x = 283.93

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.