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Finding the Fourth Proportional to 272.99, 376.84 and 162.50

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Solution

The fourth proportional to 272.99, 376.84 and 162.50 is: 224.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    272.99 : 376.84 = 162.50 : x
  2. Step 2: Convert to fraction form
    272.99/376.84 = 162.50/x
  3. Step 3: Cross multiply
    272.99x = 376.84 × 162.50
  4. Step 4: Simplify right side
    272.99x = 61,234.62
  5. Step 5: Solve for x
    x = 61,234.62/272.99
  6. Step 6: Final answer
    x = 224.31

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.