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Finding the Fourth Proportional to 259.76, 357.84 and 193.88

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Solution

The fourth proportional to 259.76, 357.84 and 193.88 is: 267.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    259.76 : 357.84 = 193.88 : x
  2. Step 2: Convert to fraction form
    259.76/357.84 = 193.88/x
  3. Step 3: Cross multiply
    259.76x = 357.84 × 193.88
  4. Step 4: Simplify right side
    259.76x = 69,378.02
  5. Step 5: Solve for x
    x = 69,378.02/259.76
  6. Step 6: Final answer
    x = 267.09

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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.