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Finding the Fourth Proportional to 260.00, 389.77 and 97.57

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Solution

The fourth proportional to 260.00, 389.77 and 97.57 is: 146.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    260.00 : 389.77 = 97.57 : x
  2. Step 2: Convert to fraction form
    260.00/389.77 = 97.57/x
  3. Step 3: Cross multiply
    260.00x = 389.77 × 97.57
  4. Step 4: Simplify right side
    260.00x = 38,030.47
  5. Step 5: Solve for x
    x = 38,030.47/260.00
  6. Step 6: Final answer
    x = 146.27

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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.