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Finding the Fourth Proportional to 146.59, 219.83 and 137

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Solution

The fourth proportional to 146.59, 219.83 and 137 is: 205.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    146.59 : 219.83 = 137 : x
  2. Step 2: Convert to fraction form
    146.59/219.83 = 137/x
  3. Step 3: Cross multiply
    146.59x = 219.83 × 137
  4. Step 4: Simplify right side
    146.59x = 30,116.71
  5. Step 5: Solve for x
    x = 30,116.71/146.59
  6. Step 6: Final answer
    x = 205.45

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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.