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Finding the Fourth Proportional to 260.94, 360.27 and 157.50

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Solution

The fourth proportional to 260.94, 360.27 and 157.50 is: 217.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    260.94 : 360.27 = 157.50 : x
  2. Step 2: Convert to fraction form
    260.94/360.27 = 157.50/x
  3. Step 3: Cross multiply
    260.94x = 360.27 × 157.50
  4. Step 4: Simplify right side
    260.94x = 56,742.53
  5. Step 5: Solve for x
    x = 56,742.53/260.94
  6. Step 6: Final answer
    x = 217.45

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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.