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Finding the Fourth Proportional to 341.63, 471.40 and 194.26

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Solution

The fourth proportional to 341.63, 471.40 and 194.26 is: 268.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    341.63 : 471.40 = 194.26 : x
  2. Step 2: Convert to fraction form
    341.63/471.40 = 194.26/x
  3. Step 3: Cross multiply
    341.63x = 471.40 × 194.26
  4. Step 4: Simplify right side
    341.63x = 91,574.16
  5. Step 5: Solve for x
    x = 91,574.16/341.63
  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.