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Finding the Fourth Proportional to 259.31, 357.71 and 197.05

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Solution

The fourth proportional to 259.31, 357.71 and 197.05 is: 271.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    259.31 : 357.71 = 197.05 : x
  2. Step 2: Convert to fraction form
    259.31/357.71 = 197.05/x
  3. Step 3: Cross multiply
    259.31x = 357.71 × 197.05
  4. Step 4: Simplify right side
    259.31x = 70,486.76
  5. Step 5: Solve for x
    x = 70,486.76/259.31
  6. Step 6: Final answer
    x = 271.82

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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.