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Finding the Fourth Proportional to 212.34, 292.98 and 165.71

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Solution

The fourth proportional to 212.34, 292.98 and 165.71 is: 228.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    212.34 : 292.98 = 165.71 : x
  2. Step 2: Convert to fraction form
    212.34/292.98 = 165.71/x
  3. Step 3: Cross multiply
    212.34x = 292.98 × 165.71
  4. Step 4: Simplify right side
    212.34x = 48,551.07
  5. Step 5: Solve for x
    x = 48,551.07/212.34
  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.