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Finding the Fourth Proportional to 260.04, 390.75 and 157.34

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Solution

The fourth proportional to 260.04, 390.75 and 157.34 is: 236.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    260.04 : 390.75 = 157.34 : x
  2. Step 2: Convert to fraction form
    260.04/390.75 = 157.34/x
  3. Step 3: Cross multiply
    260.04x = 390.75 × 157.34
  4. Step 4: Simplify right side
    260.04x = 61,481.43
  5. Step 5: Solve for x
    x = 61,481.43/260.04
  6. Step 6: Final answer
    x = 236.43

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.