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Finding the Fourth Proportional to 201.13, 277.62 and 131.20

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Solution

The fourth proportional to 201.13, 277.62 and 131.20 is: 181.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    201.13 : 277.62 = 131.20 : x
  2. Step 2: Convert to fraction form
    201.13/277.62 = 131.20/x
  3. Step 3: Cross multiply
    201.13x = 277.62 × 131.20
  4. Step 4: Simplify right side
    201.13x = 36,423.74
  5. Step 5: Solve for x
    x = 36,423.74/201.13
  6. Step 6: Final answer
    x = 181.10

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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.