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Finding the Fourth Proportional to 309.98, 464.51 and 206.91

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Solution

The fourth proportional to 309.98, 464.51 and 206.91 is: 310.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    309.98 : 464.51 = 206.91 : x
  2. Step 2: Convert to fraction form
    309.98/464.51 = 206.91/x
  3. Step 3: Cross multiply
    309.98x = 464.51 × 206.91
  4. Step 4: Simplify right side
    309.98x = 96,111.76
  5. Step 5: Solve for x
    x = 96,111.76/309.98
  6. Step 6: Final answer
    x = 310.06

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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.