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Finding the Fourth Proportional to 314.06, 433.50 and 197.70

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Solution

The fourth proportional to 314.06, 433.50 and 197.70 is: 272.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    314.06 : 433.50 = 197.70 : x
  2. Step 2: Convert to fraction form
    314.06/433.50 = 197.70/x
  3. Step 3: Cross multiply
    314.06x = 433.50 × 197.70
  4. Step 4: Simplify right side
    314.06x = 85,702.95
  5. Step 5: Solve for x
    x = 85,702.95/314.06
  6. Step 6: Final answer
    x = 272.89

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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.