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Finding the Fourth Proportional to 201.58, 278.08 and 164.30

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Solution

The fourth proportional to 201.58, 278.08 and 164.30 is: 226.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    201.58 : 278.08 = 164.30 : x
  2. Step 2: Convert to fraction form
    201.58/278.08 = 164.30/x
  3. Step 3: Cross multiply
    201.58x = 278.08 × 164.30
  4. Step 4: Simplify right side
    201.58x = 45,686.74
  5. Step 5: Solve for x
    x = 45,686.74/201.58
  6. Step 6: Final answer
    x = 226.64

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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.