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Finding the Fourth Proportional to 260.25, 390.38 and 89.25

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Solution

The fourth proportional to 260.25, 390.38 and 89.25 is: 133.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    260.25 : 390.38 = 89.25 : x
  2. Step 2: Convert to fraction form
    260.25/390.38 = 89.25/x
  3. Step 3: Cross multiply
    260.25x = 390.38 × 89.25
  4. Step 4: Simplify right side
    260.25x = 34,841.42
  5. Step 5: Solve for x
    x = 34,841.42/260.25
  6. Step 6: Final answer
    x = 133.88

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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.