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Finding the Fourth Proportional to 201.68, 303.60 and 175.22

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Solution

The fourth proportional to 201.68, 303.60 and 175.22 is: 263.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    201.68 : 303.60 = 175.22 : x
  2. Step 2: Convert to fraction form
    201.68/303.60 = 175.22/x
  3. Step 3: Cross multiply
    201.68x = 303.60 × 175.22
  4. Step 4: Simplify right side
    201.68x = 53,196.79
  5. Step 5: Solve for x
    x = 53,196.79/201.68
  6. Step 6: Final answer
    x = 263.77

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.