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Finding the Fourth Proportional to 260.88, 360.02 and 156

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Solution

The fourth proportional to 260.88, 360.02 and 156 is: 215.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    260.88 : 360.02 = 156 : x
  2. Step 2: Convert to fraction form
    260.88/360.02 = 156/x
  3. Step 3: Cross multiply
    260.88x = 360.02 × 156
  4. Step 4: Simplify right side
    260.88x = 56,163.12
  5. Step 5: Solve for x
    x = 56,163.12/260.88
  6. Step 6: Final answer
    x = 215.28

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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.