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Finding the Fourth Proportional to 201.06, 301.14 and 146.34

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Solution

The fourth proportional to 201.06, 301.14 and 146.34 is: 219.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    201.06 : 301.14 = 146.34 : x
  2. Step 2: Convert to fraction form
    201.06/301.14 = 146.34/x
  3. Step 3: Cross multiply
    201.06x = 301.14 × 146.34
  4. Step 4: Simplify right side
    201.06x = 44,068.83
  5. Step 5: Solve for x
    x = 44,068.83/201.06
  6. Step 6: Final answer
    x = 219.18

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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.