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Finding the Fourth Proportional to 146.50, 201.54 and 130.09

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Solution

The fourth proportional to 146.50, 201.54 and 130.09 is: 178.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    146.50 : 201.54 = 130.09 : x
  2. Step 2: Convert to fraction form
    146.50/201.54 = 130.09/x
  3. Step 3: Cross multiply
    146.50x = 201.54 × 130.09
  4. Step 4: Simplify right side
    146.50x = 26,218.34
  5. Step 5: Solve for x
    x = 26,218.34/146.50
  6. Step 6: Final answer
    x = 178.96

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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.