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Finding the Fourth Proportional to 340.38, 510.21 and 134.66

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Solution

The fourth proportional to 340.38, 510.21 and 134.66 is: 201.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    340.38 : 510.21 = 134.66 : x
  2. Step 2: Convert to fraction form
    340.38/510.21 = 134.66/x
  3. Step 3: Cross multiply
    340.38x = 510.21 × 134.66
  4. Step 4: Simplify right side
    340.38x = 68,706.15
  5. Step 5: Solve for x
    x = 68,706.15/340.38
  6. Step 6: Final answer
    x = 201.85

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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.