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Finding the Fourth Proportional to 355.09, 532.63 and 201.02

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Solution

The fourth proportional to 355.09, 532.63 and 201.02 is: 301.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    355.09 : 532.63 = 201.02 : x
  2. Step 2: Convert to fraction form
    355.09/532.63 = 201.02/x
  3. Step 3: Cross multiply
    355.09x = 532.63 × 201.02
  4. Step 4: Simplify right side
    355.09x = 107,071.12
  5. Step 5: Solve for x
    x = 107,071.12/355.09
  6. Step 6: Final answer
    x = 301.53

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.