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Finding the Fourth Proportional to 149.30, 205.80 and 145.40

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Solution

The fourth proportional to 149.30, 205.80 and 145.40 is: 200.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    149.30 : 205.80 = 145.40 : x
  2. Step 2: Convert to fraction form
    149.30/205.80 = 145.40/x
  3. Step 3: Cross multiply
    149.30x = 205.80 × 145.40
  4. Step 4: Simplify right side
    149.30x = 29,923.32
  5. Step 5: Solve for x
    x = 29,923.32/149.30
  6. Step 6: Final answer
    x = 200.42

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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.