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Finding the Fourth Proportional to 201.30, 291.08 and 201.30

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Solution

The fourth proportional to 201.30, 291.08 and 201.30 is: 291.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    201.30 : 291.08 = 201.30 : x
  2. Step 2: Convert to fraction form
    201.30/291.08 = 201.30/x
  3. Step 3: Cross multiply
    201.30x = 291.08 × 201.30
  4. Step 4: Simplify right side
    201.30x = 58,593.40
  5. Step 5: Solve for x
    x = 58,593.40/201.30
  6. Step 6: Final answer
    x = 291.08

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.