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Finding the Fourth Proportional to 659.51, 989.36 and 197.23

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Solution

The fourth proportional to 659.51, 989.36 and 197.23 is: 295.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    659.51 : 989.36 = 197.23 : x
  2. Step 2: Convert to fraction form
    659.51/989.36 = 197.23/x
  3. Step 3: Cross multiply
    659.51x = 989.36 × 197.23
  4. Step 4: Simplify right side
    659.51x = 195,133.20
  5. Step 5: Solve for x
    x = 195,133.20/659.51
  6. Step 6: Final answer
    x = 295.87

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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.