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Finding the Fourth Proportional to 145.80, 200.81 and 134.85

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Solution

The fourth proportional to 145.80, 200.81 and 134.85 is: 185.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    145.80 : 200.81 = 134.85 : x
  2. Step 2: Convert to fraction form
    145.80/200.81 = 134.85/x
  3. Step 3: Cross multiply
    145.80x = 200.81 × 134.85
  4. Step 4: Simplify right side
    145.80x = 27,079.23
  5. Step 5: Solve for x
    x = 27,079.23/145.80
  6. Step 6: Final answer
    x = 185.73

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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.