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Finding the Fourth Proportional to 260.82, 390.65 and 202.59

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Solution

The fourth proportional to 260.82, 390.65 and 202.59 is: 303.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    260.82 : 390.65 = 202.59 : x
  2. Step 2: Convert to fraction form
    260.82/390.65 = 202.59/x
  3. Step 3: Cross multiply
    260.82x = 390.65 × 202.59
  4. Step 4: Simplify right side
    260.82x = 79,140.77
  5. Step 5: Solve for x
    x = 79,140.77/260.82
  6. Step 6: Final answer
    x = 303.43

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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.