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Finding the Fourth Proportional to 201.42, 301.46 and 152.55

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Solution

The fourth proportional to 201.42, 301.46 and 152.55 is: 228.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    201.42 : 301.46 = 152.55 : x
  2. Step 2: Convert to fraction form
    201.42/301.46 = 152.55/x
  3. Step 3: Cross multiply
    201.42x = 301.46 × 152.55
  4. Step 4: Simplify right side
    201.42x = 45,986.96
  5. Step 5: Solve for x
    x = 45,986.96/201.42
  6. Step 6: Final answer
    x = 228.31

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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.