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Finding the Fourth Proportional to 260.92, 390.98 and 164.53

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Solution

The fourth proportional to 260.92, 390.98 and 164.53 is: 246.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    260.92 : 390.98 = 164.53 : x
  2. Step 2: Convert to fraction form
    260.92/390.98 = 164.53/x
  3. Step 3: Cross multiply
    260.92x = 390.98 × 164.53
  4. Step 4: Simplify right side
    260.92x = 64,327.91
  5. Step 5: Solve for x
    x = 64,327.91/260.92
  6. Step 6: Final answer
    x = 246.54

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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.