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Finding the Fourth Proportional to 212.25, 293 and 162.47

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Solution

The fourth proportional to 212.25, 293 and 162.47 is: 224.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    212.25 : 293 = 162.47 : x
  2. Step 2: Convert to fraction form
    212.25/293 = 162.47/x
  3. Step 3: Cross multiply
    212.25x = 293 × 162.47
  4. Step 4: Simplify right side
    212.25x = 47,603.71
  5. Step 5: Solve for x
    x = 47,603.71/212.25
  6. Step 6: Final answer
    x = 224.28

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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.