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Finding the Fourth Proportional to 260.49, 390.36 and 178.68

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Solution

The fourth proportional to 260.49, 390.36 and 178.68 is: 267.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    260.49 : 390.36 = 178.68 : x
  2. Step 2: Convert to fraction form
    260.49/390.36 = 178.68/x
  3. Step 3: Cross multiply
    260.49x = 390.36 × 178.68
  4. Step 4: Simplify right side
    260.49x = 69,749.52
  5. Step 5: Solve for x
    x = 69,749.52/260.49
  6. Step 6: Final answer
    x = 267.76

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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.