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Finding the Fourth Proportional to 341.41, 471.14 and 186.16

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Solution

The fourth proportional to 341.41, 471.14 and 186.16 is: 256.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    341.41 : 471.14 = 186.16 : x
  2. Step 2: Convert to fraction form
    341.41/471.14 = 186.16/x
  3. Step 3: Cross multiply
    341.41x = 471.14 × 186.16
  4. Step 4: Simplify right side
    341.41x = 87,706.24
  5. Step 5: Solve for x
    x = 87,706.24/341.41
  6. Step 6: Final answer
    x = 256.90

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.