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Finding the Fourth Proportional to 340.74, 511.14 and 194.49

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Solution

The fourth proportional to 340.74, 511.14 and 194.49 is: 291.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    340.74 : 511.14 = 194.49 : x
  2. Step 2: Convert to fraction form
    340.74/511.14 = 194.49/x
  3. Step 3: Cross multiply
    340.74x = 511.14 × 194.49
  4. Step 4: Simplify right side
    340.74x = 99,411.62
  5. Step 5: Solve for x
    x = 99,411.62/340.74
  6. Step 6: Final answer
    x = 291.75

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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.