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Finding the Fourth Proportional to 201.46, 278.02 and 175.02

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Solution

The fourth proportional to 201.46, 278.02 and 175.02 is: 241.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    201.46 : 278.02 = 175.02 : x
  2. Step 2: Convert to fraction form
    201.46/278.02 = 175.02/x
  3. Step 3: Cross multiply
    201.46x = 278.02 × 175.02
  4. Step 4: Simplify right side
    201.46x = 48,659.06
  5. Step 5: Solve for x
    x = 48,659.06/201.46
  6. Step 6: Final answer
    x = 241.53

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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.