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Finding the Fourth Proportional to 340.46, 510.30 and 134.96

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Solution

The fourth proportional to 340.46, 510.30 and 134.96 is: 202.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    340.46 : 510.30 = 134.96 : x
  2. Step 2: Convert to fraction form
    340.46/510.30 = 134.96/x
  3. Step 3: Cross multiply
    340.46x = 510.30 × 134.96
  4. Step 4: Simplify right side
    340.46x = 68,870.09
  5. Step 5: Solve for x
    x = 68,870.09/340.46
  6. Step 6: Final answer
    x = 202.29

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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.