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Finding the Fourth Proportional to 260.25, 390.59 and 164.07

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Solution

The fourth proportional to 260.25, 390.59 and 164.07 is: 246.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    260.25 : 390.59 = 164.07 : x
  2. Step 2: Convert to fraction form
    260.25/390.59 = 164.07/x
  3. Step 3: Cross multiply
    260.25x = 390.59 × 164.07
  4. Step 4: Simplify right side
    260.25x = 64,083.28
  5. Step 5: Solve for x
    x = 64,083.28/260.25
  6. Step 6: Final answer
    x = 246.24

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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.