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Finding the Fourth Proportional to 212.54, 292.99 and 165.83

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Solution

The fourth proportional to 212.54, 292.99 and 165.83 is: 228.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    212.54 : 292.99 = 165.83 : x
  2. Step 2: Convert to fraction form
    212.54/292.99 = 165.83/x
  3. Step 3: Cross multiply
    212.54x = 292.99 × 165.83
  4. Step 4: Simplify right side
    212.54x = 48,586.53
  5. Step 5: Solve for x
    x = 48,586.53/212.54
  6. Step 6: Final answer
    x = 228.60

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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.