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Finding the Fourth Proportional to 233.60, 348.46 and 206.60

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Solution

The fourth proportional to 233.60, 348.46 and 206.60 is: 308.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    233.60 : 348.46 = 206.60 : x
  2. Step 2: Convert to fraction form
    233.60/348.46 = 206.60/x
  3. Step 3: Cross multiply
    233.60x = 348.46 × 206.60
  4. Step 4: Simplify right side
    233.60x = 71,991.84
  5. Step 5: Solve for x
    x = 71,991.84/233.60
  6. Step 6: Final answer
    x = 308.18

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.