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Finding the Fourth Proportional to 260.32, 390.63 and 123.43

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Solution

The fourth proportional to 260.32, 390.63 and 123.43 is: 185.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    260.32 : 390.63 = 123.43 : x
  2. Step 2: Convert to fraction form
    260.32/390.63 = 123.43/x
  3. Step 3: Cross multiply
    260.32x = 390.63 × 123.43
  4. Step 4: Simplify right side
    260.32x = 48,215.46
  5. Step 5: Solve for x
    x = 48,215.46/260.32
  6. Step 6: Final answer
    x = 185.22

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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.