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Finding the Fourth Proportional to 339.65, 468.74 and 199.74

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Solution

The fourth proportional to 339.65, 468.74 and 199.74 is: 275.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    339.65 : 468.74 = 199.74 : x
  2. Step 2: Convert to fraction form
    339.65/468.74 = 199.74/x
  3. Step 3: Cross multiply
    339.65x = 468.74 × 199.74
  4. Step 4: Simplify right side
    339.65x = 93,625.13
  5. Step 5: Solve for x
    x = 93,625.13/339.65
  6. Step 6: Final answer
    x = 275.66

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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.