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Finding the Fourth Proportional to 341.88, 471.80 and 186.63

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Solution

The fourth proportional to 341.88, 471.80 and 186.63 is: 257.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    341.88 : 471.80 = 186.63 : x
  2. Step 2: Convert to fraction form
    341.88/471.80 = 186.63/x
  3. Step 3: Cross multiply
    341.88x = 471.80 × 186.63
  4. Step 4: Simplify right side
    341.88x = 88,052.03
  5. Step 5: Solve for x
    x = 88,052.03/341.88
  6. Step 6: Final answer
    x = 257.55

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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.