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Finding the Fourth Proportional to 201, 277.50 and 132.12

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Solution

The fourth proportional to 201, 277.50 and 132.12 is: 182.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    201 : 277.50 = 132.12 : x
  2. Step 2: Convert to fraction form
    201/277.50 = 132.12/x
  3. Step 3: Cross multiply
    201x = 277.50 × 132.12
  4. Step 4: Simplify right side
    201x = 36,663.30
  5. Step 5: Solve for x
    x = 36,663.30/201
  6. Step 6: Final answer
    x = 182.40

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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.