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Finding the Fourth Proportional to 262.26, 392.72 and 180.99

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Solution

The fourth proportional to 262.26, 392.72 and 180.99 is: 271.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    262.26 : 392.72 = 180.99 : x
  2. Step 2: Convert to fraction form
    262.26/392.72 = 180.99/x
  3. Step 3: Cross multiply
    262.26x = 392.72 × 180.99
  4. Step 4: Simplify right side
    262.26x = 71,077.49
  5. Step 5: Solve for x
    x = 71,077.49/262.26
  6. Step 6: Final answer
    x = 271.02

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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.