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Finding the Fourth Proportional to 343.07, 514.67 and 126.66

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Solution

The fourth proportional to 343.07, 514.67 and 126.66 is: 190.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    343.07 : 514.67 = 126.66 : x
  2. Step 2: Convert to fraction form
    343.07/514.67 = 126.66/x
  3. Step 3: Cross multiply
    343.07x = 514.67 × 126.66
  4. Step 4: Simplify right side
    343.07x = 65,188.10
  5. Step 5: Solve for x
    x = 65,188.10/343.07
  6. Step 6: Final answer
    x = 190.01

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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.