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Finding the Fourth Proportional to 260.84, 392.22 and 180.20

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Solution

The fourth proportional to 260.84, 392.22 and 180.20 is: 270.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    260.84 : 392.22 = 180.20 : x
  2. Step 2: Convert to fraction form
    260.84/392.22 = 180.20/x
  3. Step 3: Cross multiply
    260.84x = 392.22 × 180.20
  4. Step 4: Simplify right side
    260.84x = 70,678.04
  5. Step 5: Solve for x
    x = 70,678.04/260.84
  6. Step 6: Final answer
    x = 270.96

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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.