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Finding the Fourth Proportional to 145.68, 200.86 and 119.42

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Solution

The fourth proportional to 145.68, 200.86 and 119.42 is: 164.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    145.68 : 200.86 = 119.42 : x
  2. Step 2: Convert to fraction form
    145.68/200.86 = 119.42/x
  3. Step 3: Cross multiply
    145.68x = 200.86 × 119.42
  4. Step 4: Simplify right side
    145.68x = 23,986.70
  5. Step 5: Solve for x
    x = 23,986.70/145.68
  6. Step 6: Final answer
    x = 164.65

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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.