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Finding the Fourth Proportional to 148.38, 204.77 and 126.18

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Solution

The fourth proportional to 148.38, 204.77 and 126.18 is: 174.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    148.38 : 204.77 = 126.18 : x
  2. Step 2: Convert to fraction form
    148.38/204.77 = 126.18/x
  3. Step 3: Cross multiply
    148.38x = 204.77 × 126.18
  4. Step 4: Simplify right side
    148.38x = 25,837.25
  5. Step 5: Solve for x
    x = 25,837.25/148.38
  6. Step 6: Final answer
    x = 174.13

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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.