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Finding the Fourth Proportional to 201.46, 301.58 and 152.59

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Solution

The fourth proportional to 201.46, 301.58 and 152.59 is: 228.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    201.46 : 301.58 = 152.59 : x
  2. Step 2: Convert to fraction form
    201.46/301.58 = 152.59/x
  3. Step 3: Cross multiply
    201.46x = 301.58 × 152.59
  4. Step 4: Simplify right side
    201.46x = 46,018.09
  5. Step 5: Solve for x
    x = 46,018.09/201.46
  6. Step 6: Final answer
    x = 228.42

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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.