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Finding the Fourth Proportional to 312.21, 430.49 and 199.91

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Solution

The fourth proportional to 312.21, 430.49 and 199.91 is: 275.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    312.21 : 430.49 = 199.91 : x
  2. Step 2: Convert to fraction form
    312.21/430.49 = 199.91/x
  3. Step 3: Cross multiply
    312.21x = 430.49 × 199.91
  4. Step 4: Simplify right side
    312.21x = 86,056.10
  5. Step 5: Solve for x
    x = 86,056.10/312.21
  6. Step 6: Final answer
    x = 275.64

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.