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Finding the Fourth Proportional to 200.59, 301.08 and 142.87

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Solution

The fourth proportional to 200.59, 301.08 and 142.87 is: 214.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    200.59 : 301.08 = 142.87 : x
  2. Step 2: Convert to fraction form
    200.59/301.08 = 142.87/x
  3. Step 3: Cross multiply
    200.59x = 301.08 × 142.87
  4. Step 4: Simplify right side
    200.59x = 43,015.70
  5. Step 5: Solve for x
    x = 43,015.70/200.59
  6. Step 6: Final answer
    x = 214.45

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.