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Finding the Fourth Proportional to 149.40, 204.34 and 146.16

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Solution

The fourth proportional to 149.40, 204.34 and 146.16 is: 199.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    149.40 : 204.34 = 146.16 : x
  2. Step 2: Convert to fraction form
    149.40/204.34 = 146.16/x
  3. Step 3: Cross multiply
    149.40x = 204.34 × 146.16
  4. Step 4: Simplify right side
    149.40x = 29,866.33
  5. Step 5: Solve for x
    x = 29,866.33/149.40
  6. Step 6: Final answer
    x = 199.91

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.