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Finding the Fourth Proportional to 220.82, 304.68 and 162.50

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Solution

The fourth proportional to 220.82, 304.68 and 162.50 is: 224.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    220.82 : 304.68 = 162.50 : x
  2. Step 2: Convert to fraction form
    220.82/304.68 = 162.50/x
  3. Step 3: Cross multiply
    220.82x = 304.68 × 162.50
  4. Step 4: Simplify right side
    220.82x = 49,510.50
  5. Step 5: Solve for x
    x = 49,510.50/220.82
  6. Step 6: Final answer
    x = 224.21

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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.