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Finding the Fourth Proportional to 260.14, 390.02 and 106.02

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Solution

The fourth proportional to 260.14, 390.02 and 106.02 is: 158.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    260.14 : 390.02 = 106.02 : x
  2. Step 2: Convert to fraction form
    260.14/390.02 = 106.02/x
  3. Step 3: Cross multiply
    260.14x = 390.02 × 106.02
  4. Step 4: Simplify right side
    260.14x = 41,347.97
  5. Step 5: Solve for x
    x = 41,347.97/260.14
  6. Step 6: Final answer
    x = 158.95

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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.