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Finding the Fourth Proportional to 341.68, 471.42 and 194.28

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Solution

The fourth proportional to 341.68, 471.42 and 194.28 is: 268.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    341.68 : 471.42 = 194.28 : x
  2. Step 2: Convert to fraction form
    341.68/471.42 = 194.28/x
  3. Step 3: Cross multiply
    341.68x = 471.42 × 194.28
  4. Step 4: Simplify right side
    341.68x = 91,587.48
  5. Step 5: Solve for x
    x = 91,587.48/341.68
  6. Step 6: Final answer
    x = 268.05

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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.