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Finding the Fourth Proportional to 309.10, 463.14 and 185.45

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Solution

The fourth proportional to 309.10, 463.14 and 185.45 is: 277.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    309.10 : 463.14 = 185.45 : x
  2. Step 2: Convert to fraction form
    309.10/463.14 = 185.45/x
  3. Step 3: Cross multiply
    309.10x = 463.14 × 185.45
  4. Step 4: Simplify right side
    309.10x = 85,889.31
  5. Step 5: Solve for x
    x = 85,889.31/309.10
  6. Step 6: Final answer
    x = 277.87

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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.