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Finding the Fourth Proportional to 340.41, 469.74 and 193.05

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Solution

The fourth proportional to 340.41, 469.74 and 193.05 is: 266.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    340.41 : 469.74 = 193.05 : x
  2. Step 2: Convert to fraction form
    340.41/469.74 = 193.05/x
  3. Step 3: Cross multiply
    340.41x = 469.74 × 193.05
  4. Step 4: Simplify right side
    340.41x = 90,683.31
  5. Step 5: Solve for x
    x = 90,683.31/340.41
  6. Step 6: Final answer
    x = 266.39

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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.