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Finding the Fourth Proportional to 149.05, 206.51 and 145.81

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Solution

The fourth proportional to 149.05, 206.51 and 145.81 is: 202.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    149.05 : 206.51 = 145.81 : x
  2. Step 2: Convert to fraction form
    149.05/206.51 = 145.81/x
  3. Step 3: Cross multiply
    149.05x = 206.51 × 145.81
  4. Step 4: Simplify right side
    149.05x = 30,110.19
  5. Step 5: Solve for x
    x = 30,110.19/149.05
  6. Step 6: Final answer
    x = 202.02

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.