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Finding the Fourth Proportional to 201.64, 278.04 and 170.68

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Solution

The fourth proportional to 201.64, 278.04 and 170.68 is: 235.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    201.64 : 278.04 = 170.68 : x
  2. Step 2: Convert to fraction form
    201.64/278.04 = 170.68/x
  3. Step 3: Cross multiply
    201.64x = 278.04 × 170.68
  4. Step 4: Simplify right side
    201.64x = 47,455.87
  5. Step 5: Solve for x
    x = 47,455.87/201.64
  6. Step 6: Final answer
    x = 235.35

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.