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Finding the Fourth Proportional to 146.98, 220.68 and 123.10

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Solution

The fourth proportional to 146.98, 220.68 and 123.10 is: 184.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    146.98 : 220.68 = 123.10 : x
  2. Step 2: Convert to fraction form
    146.98/220.68 = 123.10/x
  3. Step 3: Cross multiply
    146.98x = 220.68 × 123.10
  4. Step 4: Simplify right side
    146.98x = 27,165.71
  5. Step 5: Solve for x
    x = 27,165.71/146.98
  6. Step 6: Final answer
    x = 184.83

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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.