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Finding the Fourth Proportional to 149.98, 223.59 and 147.64

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Solution

The fourth proportional to 149.98, 223.59 and 147.64 is: 220.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    149.98 : 223.59 = 147.64 : x
  2. Step 2: Convert to fraction form
    149.98/223.59 = 147.64/x
  3. Step 3: Cross multiply
    149.98x = 223.59 × 147.64
  4. Step 4: Simplify right side
    149.98x = 33,010.09
  5. Step 5: Solve for x
    x = 33,010.09/149.98
  6. Step 6: Final answer
    x = 220.10

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.