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Finding the Fourth Proportional to 510.81, 766.34 and 164.14

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Solution

The fourth proportional to 510.81, 766.34 and 164.14 is: 246.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    510.81 : 766.34 = 164.14 : x
  2. Step 2: Convert to fraction form
    510.81/766.34 = 164.14/x
  3. Step 3: Cross multiply
    510.81x = 766.34 × 164.14
  4. Step 4: Simplify right side
    510.81x = 125,787.05
  5. Step 5: Solve for x
    x = 125,787.05/510.81
  6. Step 6: Final answer
    x = 246.25

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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.