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Finding the Fourth Proportional to 201.10, 282.35 and 201.10

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Solution

The fourth proportional to 201.10, 282.35 and 201.10 is: 282.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    201.10 : 282.35 = 201.10 : x
  2. Step 2: Convert to fraction form
    201.10/282.35 = 201.10/x
  3. Step 3: Cross multiply
    201.10x = 282.35 × 201.10
  4. Step 4: Simplify right side
    201.10x = 56,780.59
  5. Step 5: Solve for x
    x = 56,780.59/201.10
  6. Step 6: Final answer
    x = 282.35

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.