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Finding the Fourth Proportional to 260.78, 359.82 and 157.28

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Solution

The fourth proportional to 260.78, 359.82 and 157.28 is: 217.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    260.78 : 359.82 = 157.28 : x
  2. Step 2: Convert to fraction form
    260.78/359.82 = 157.28/x
  3. Step 3: Cross multiply
    260.78x = 359.82 × 157.28
  4. Step 4: Simplify right side
    260.78x = 56,592.49
  5. Step 5: Solve for x
    x = 56,592.49/260.78
  6. Step 6: Final answer
    x = 217.01

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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.