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Finding the Fourth Proportional to 148.49, 204.87 and 118.98

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Solution

The fourth proportional to 148.49, 204.87 and 118.98 is: 164.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    148.49 : 204.87 = 118.98 : x
  2. Step 2: Convert to fraction form
    148.49/204.87 = 118.98/x
  3. Step 3: Cross multiply
    148.49x = 204.87 × 118.98
  4. Step 4: Simplify right side
    148.49x = 24,375.43
  5. Step 5: Solve for x
    x = 24,375.43/148.49
  6. Step 6: Final answer
    x = 164.16

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.