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Finding the Fourth Proportional to 588.37, 881.94 and 198.23

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Solution

The fourth proportional to 588.37, 881.94 and 198.23 is: 297.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    588.37 : 881.94 = 198.23 : x
  2. Step 2: Convert to fraction form
    588.37/881.94 = 198.23/x
  3. Step 3: Cross multiply
    588.37x = 881.94 × 198.23
  4. Step 4: Simplify right side
    588.37x = 174,829.07
  5. Step 5: Solve for x
    x = 174,829.07/588.37
  6. Step 6: Final answer
    x = 297.14

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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.