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Finding the Fourth Proportional to 260.21, 390.59 and 167.78

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Solution

The fourth proportional to 260.21, 390.59 and 167.78 is: 251.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    260.21 : 390.59 = 167.78 : x
  2. Step 2: Convert to fraction form
    260.21/390.59 = 167.78/x
  3. Step 3: Cross multiply
    260.21x = 390.59 × 167.78
  4. Step 4: Simplify right side
    260.21x = 65,533.19
  5. Step 5: Solve for x
    x = 65,533.19/260.21
  6. Step 6: Final answer
    x = 251.85

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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.