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Finding the Fourth Proportional to 341.09, 470.68 and 185.84

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Solution

The fourth proportional to 341.09, 470.68 and 185.84 is: 256.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    341.09 : 470.68 = 185.84 : x
  2. Step 2: Convert to fraction form
    341.09/470.68 = 185.84/x
  3. Step 3: Cross multiply
    341.09x = 470.68 × 185.84
  4. Step 4: Simplify right side
    341.09x = 87,471.17
  5. Step 5: Solve for x
    x = 87,471.17/341.09
  6. Step 6: Final answer
    x = 256.45

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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.