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Finding the Fourth Proportional to 260.42, 390.65 and 123.48

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Solution

The fourth proportional to 260.42, 390.65 and 123.48 is: 185.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    260.42 : 390.65 = 123.48 : x
  2. Step 2: Convert to fraction form
    260.42/390.65 = 123.48/x
  3. Step 3: Cross multiply
    260.42x = 390.65 × 123.48
  4. Step 4: Simplify right side
    260.42x = 48,236.84
  5. Step 5: Solve for x
    x = 48,236.84/260.42
  6. Step 6: Final answer
    x = 185.23

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