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Finding the Fourth Proportional to 314.02, 433.50 and 197.64

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Solution

The fourth proportional to 314.02, 433.50 and 197.64 is: 272.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    314.02 : 433.50 = 197.64 : x
  2. Step 2: Convert to fraction form
    314.02/433.50 = 197.64/x
  3. Step 3: Cross multiply
    314.02x = 433.50 × 197.64
  4. Step 4: Simplify right side
    314.02x = 85,676.94
  5. Step 5: Solve for x
    x = 85,676.94/314.02
  6. Step 6: Final answer
    x = 272.84

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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.