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Finding the Fourth Proportional to 146.59, 220 and 137.47

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Solution

The fourth proportional to 146.59, 220 and 137.47 is: 206.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    146.59 : 220 = 137.47 : x
  2. Step 2: Convert to fraction form
    146.59/220 = 137.47/x
  3. Step 3: Cross multiply
    146.59x = 220 × 137.47
  4. Step 4: Simplify right side
    146.59x = 30,243.40
  5. Step 5: Solve for x
    x = 30,243.40/146.59
  6. Step 6: Final answer
    x = 206.31

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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.