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Finding the Fourth Proportional to 212.58, 293.46 and 165.84

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Solution

The fourth proportional to 212.58, 293.46 and 165.84 is: 228.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    212.58 : 293.46 = 165.84 : x
  2. Step 2: Convert to fraction form
    212.58/293.46 = 165.84/x
  3. Step 3: Cross multiply
    212.58x = 293.46 × 165.84
  4. Step 4: Simplify right side
    212.58x = 48,667.41
  5. Step 5: Solve for x
    x = 48,667.41/212.58
  6. Step 6: Final answer
    x = 228.94

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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.