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Finding the Fourth Proportional to 309, 463.40 and 126.40

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Solution

The fourth proportional to 309, 463.40 and 126.40 is: 189.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    309 : 463.40 = 126.40 : x
  2. Step 2: Convert to fraction form
    309/463.40 = 126.40/x
  3. Step 3: Cross multiply
    309x = 463.40 × 126.40
  4. Step 4: Simplify right side
    309x = 58,573.76
  5. Step 5: Solve for x
    x = 58,573.76/309
  6. Step 6: Final answer
    x = 189.56

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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.