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Finding the Fourth Proportional to 277.96, 417.18 and 164.04

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Solution

The fourth proportional to 277.96, 417.18 and 164.04 is: 246.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    277.96 : 417.18 = 164.04 : x
  2. Step 2: Convert to fraction form
    277.96/417.18 = 164.04/x
  3. Step 3: Cross multiply
    277.96x = 417.18 × 164.04
  4. Step 4: Simplify right side
    277.96x = 68,434.21
  5. Step 5: Solve for x
    x = 68,434.21/277.96
  6. Step 6: Final answer
    x = 246.20

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