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Finding the Fourth Proportional to 212.60, 320.23 and 193.46

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Solution

The fourth proportional to 212.60, 320.23 and 193.46 is: 291.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    212.60 : 320.23 = 193.46 : x
  2. Step 2: Convert to fraction form
    212.60/320.23 = 193.46/x
  3. Step 3: Cross multiply
    212.60x = 320.23 × 193.46
  4. Step 4: Simplify right side
    212.60x = 61,951.70
  5. Step 5: Solve for x
    x = 61,951.70/212.60
  6. Step 6: Final answer
    x = 291.41

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.