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Finding the Fourth Proportional to 260.19, 390.27 and 123.23

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Solution

The fourth proportional to 260.19, 390.27 and 123.23 is: 184.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    260.19 : 390.27 = 123.23 : x
  2. Step 2: Convert to fraction form
    260.19/390.27 = 123.23/x
  3. Step 3: Cross multiply
    260.19x = 390.27 × 123.23
  4. Step 4: Simplify right side
    260.19x = 48,091.02
  5. Step 5: Solve for x
    x = 48,091.02/260.19
  6. Step 6: Final answer
    x = 184.83

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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.