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Finding the Fourth Proportional to 259.36, 357.16 and 193.76

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Solution

The fourth proportional to 259.36, 357.16 and 193.76 is: 266.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    259.36 : 357.16 = 193.76 : x
  2. Step 2: Convert to fraction form
    259.36/357.16 = 193.76/x
  3. Step 3: Cross multiply
    259.36x = 357.16 × 193.76
  4. Step 4: Simplify right side
    259.36x = 69,203.32
  5. Step 5: Solve for x
    x = 69,203.32/259.36
  6. Step 6: Final answer
    x = 266.82

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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.