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Finding the Fourth Proportional to 214.02, 293.58 and 201.60

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Solution

The fourth proportional to 214.02, 293.58 and 201.60 is: 276.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    214.02 : 293.58 = 201.60 : x
  2. Step 2: Convert to fraction form
    214.02/293.58 = 201.60/x
  3. Step 3: Cross multiply
    214.02x = 293.58 × 201.60
  4. Step 4: Simplify right side
    214.02x = 59,185.73
  5. Step 5: Solve for x
    x = 59,185.73/214.02
  6. Step 6: Final answer
    x = 276.54

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.