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Finding the Fourth Proportional to 193.26, 289.98 and 97.06

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Solution

The fourth proportional to 193.26, 289.98 and 97.06 is: 145.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    193.26 : 289.98 = 97.06 : x
  2. Step 2: Convert to fraction form
    193.26/289.98 = 97.06/x
  3. Step 3: Cross multiply
    193.26x = 289.98 × 97.06
  4. Step 4: Simplify right side
    193.26x = 28,145.46
  5. Step 5: Solve for x
    x = 28,145.46/193.26
  6. Step 6: Final answer
    x = 145.64

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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.