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Finding the Fourth Proportional to 146.90, 220.23 and 78.28

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Solution

The fourth proportional to 146.90, 220.23 and 78.28 is: 117.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    146.90 : 220.23 = 78.28 : x
  2. Step 2: Convert to fraction form
    146.90/220.23 = 78.28/x
  3. Step 3: Cross multiply
    146.90x = 220.23 × 78.28
  4. Step 4: Simplify right side
    146.90x = 17,238.50
  5. Step 5: Solve for x
    x = 17,238.50/146.90
  6. Step 6: Final answer
    x = 117.35

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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.