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Finding the Fourth Proportional to 309, 463.26 and 193.26

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Solution

The fourth proportional to 309, 463.26 and 193.26 is: 289.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    309 : 463.26 = 193.26 : x
  2. Step 2: Convert to fraction form
    309/463.26 = 193.26/x
  3. Step 3: Cross multiply
    309x = 463.26 × 193.26
  4. Step 4: Simplify right side
    309x = 89,529.63
  5. Step 5: Solve for x
    x = 89,529.63/309
  6. Step 6: Final answer
    x = 289.74

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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.