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Finding the Fourth Proportional to 341.63, 512.68 and 125.21

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Solution

The fourth proportional to 341.63, 512.68 and 125.21 is: 187.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    341.63 : 512.68 = 125.21 : x
  2. Step 2: Convert to fraction form
    341.63/512.68 = 125.21/x
  3. Step 3: Cross multiply
    341.63x = 512.68 × 125.21
  4. Step 4: Simplify right side
    341.63x = 64,192.66
  5. Step 5: Solve for x
    x = 64,192.66/341.63
  6. Step 6: Final answer
    x = 187.90

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.