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Finding the Fourth Proportional to 259.58, 357.80 and 197.22

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Solution

The fourth proportional to 259.58, 357.80 and 197.22 is: 271.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    259.58 : 357.80 = 197.22 : x
  2. Step 2: Convert to fraction form
    259.58/357.80 = 197.22/x
  3. Step 3: Cross multiply
    259.58x = 357.80 × 197.22
  4. Step 4: Simplify right side
    259.58x = 70,565.32
  5. Step 5: Solve for x
    x = 70,565.32/259.58
  6. Step 6: Final answer
    x = 271.84

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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.