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Finding the Fourth Proportional to 212.69, 293.00 and 165.98

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Solution

The fourth proportional to 212.69, 293.00 and 165.98 is: 228.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    212.69 : 293.00 = 165.98 : x
  2. Step 2: Convert to fraction form
    212.69/293.00 = 165.98/x
  3. Step 3: Cross multiply
    212.69x = 293.00 × 165.98
  4. Step 4: Simplify right side
    212.69x = 48,629.85
  5. Step 5: Solve for x
    x = 48,629.85/212.69
  6. Step 6: Final answer
    x = 228.65

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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.