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Finding the Fourth Proportional to 260.07, 390.14 and 86.68

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Solution

The fourth proportional to 260.07, 390.14 and 86.68 is: 130.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    260.07 : 390.14 = 86.68 : x
  2. Step 2: Convert to fraction form
    260.07/390.14 = 86.68/x
  3. Step 3: Cross multiply
    260.07x = 390.14 × 86.68
  4. Step 4: Simplify right side
    260.07x = 33,814.95
  5. Step 5: Solve for x
    x = 33,814.95/260.07
  6. Step 6: Final answer
    x = 130.02

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Why These Related Problems?

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