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Finding the Fourth Proportional to 341.14, 470.77 and 193.81

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Solution

The fourth proportional to 341.14, 470.77 and 193.81 is: 267.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    341.14 : 470.77 = 193.81 : x
  2. Step 2: Convert to fraction form
    341.14/470.77 = 193.81/x
  3. Step 3: Cross multiply
    341.14x = 470.77 × 193.81
  4. Step 4: Simplify right side
    341.14x = 91,239.93
  5. Step 5: Solve for x
    x = 91,239.93/341.14
  6. Step 6: Final answer
    x = 267.46

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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.