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Finding the Fourth Proportional to 260.16, 390.25 and 77.56

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Solution

The fourth proportional to 260.16, 390.25 and 77.56 is: 116.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    260.16 : 390.25 = 77.56 : x
  2. Step 2: Convert to fraction form
    260.16/390.25 = 77.56/x
  3. Step 3: Cross multiply
    260.16x = 390.25 × 77.56
  4. Step 4: Simplify right side
    260.16x = 30,267.79
  5. Step 5: Solve for x
    x = 30,267.79/260.16
  6. Step 6: Final answer
    x = 116.34

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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.