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Finding the Fourth Proportional to 260.40, 390.48 and 128.47

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Solution

The fourth proportional to 260.40, 390.48 and 128.47 is: 192.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    260.40 : 390.48 = 128.47 : x
  2. Step 2: Convert to fraction form
    260.40/390.48 = 128.47/x
  3. Step 3: Cross multiply
    260.40x = 390.48 × 128.47
  4. Step 4: Simplify right side
    260.40x = 50,164.97
  5. Step 5: Solve for x
    x = 50,164.97/260.40
  6. Step 6: Final answer
    x = 192.65

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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.