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Finding the Fourth Proportional to 232.60, 348.60 and 206.80

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Solution

The fourth proportional to 232.60, 348.60 and 206.80 is: 309.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    232.60 : 348.60 = 206.80 : x
  2. Step 2: Convert to fraction form
    232.60/348.60 = 206.80/x
  3. Step 3: Cross multiply
    232.60x = 348.60 × 206.80
  4. Step 4: Simplify right side
    232.60x = 72,090.48
  5. Step 5: Solve for x
    x = 72,090.48/232.60
  6. Step 6: Final answer
    x = 309.93

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.