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Finding the Fourth Proportional to 260.32, 389.64 and 250.24

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Solution

The fourth proportional to 260.32, 389.64 and 250.24 is: 374.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    260.32 : 389.64 = 250.24 : x
  2. Step 2: Convert to fraction form
    260.32/389.64 = 250.24/x
  3. Step 3: Cross multiply
    260.32x = 389.64 × 250.24
  4. Step 4: Simplify right side
    260.32x = 97,503.51
  5. Step 5: Solve for x
    x = 97,503.51/260.32
  6. Step 6: Final answer
    x = 374.55

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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.