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Finding the Fourth Proportional to 309.94, 463.99 and 187.83

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Solution

The fourth proportional to 309.94, 463.99 and 187.83 is: 281.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    309.94 : 463.99 = 187.83 : x
  2. Step 2: Convert to fraction form
    309.94/463.99 = 187.83/x
  3. Step 3: Cross multiply
    309.94x = 463.99 × 187.83
  4. Step 4: Simplify right side
    309.94x = 87,151.24
  5. Step 5: Solve for x
    x = 87,151.24/309.94
  6. Step 6: Final answer
    x = 281.19

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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.