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Finding the Fourth Proportional to 340.56, 510.83 and 109.46

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Solution

The fourth proportional to 340.56, 510.83 and 109.46 is: 164.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    340.56 : 510.83 = 109.46 : x
  2. Step 2: Convert to fraction form
    340.56/510.83 = 109.46/x
  3. Step 3: Cross multiply
    340.56x = 510.83 × 109.46
  4. Step 4: Simplify right side
    340.56x = 55,915.45
  5. Step 5: Solve for x
    x = 55,915.45/340.56
  6. Step 6: Final answer
    x = 164.19

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Why These Related Problems?

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