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Finding the Fourth Proportional to 146.99, 220.39 and 78.50

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Solution

The fourth proportional to 146.99, 220.39 and 78.50 is: 117.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    146.99 : 220.39 = 78.50 : x
  2. Step 2: Convert to fraction form
    146.99/220.39 = 78.50/x
  3. Step 3: Cross multiply
    146.99x = 220.39 × 78.50
  4. Step 4: Simplify right side
    146.99x = 17,300.62
  5. Step 5: Solve for x
    x = 17,300.62/146.99
  6. Step 6: Final answer
    x = 117.70

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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.