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Finding the Fourth Proportional to 278.35, 384.12 and 160.28

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Solution

The fourth proportional to 278.35, 384.12 and 160.28 is: 221.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    278.35 : 384.12 = 160.28 : x
  2. Step 2: Convert to fraction form
    278.35/384.12 = 160.28/x
  3. Step 3: Cross multiply
    278.35x = 384.12 × 160.28
  4. Step 4: Simplify right side
    278.35x = 61,568.42
  5. Step 5: Solve for x
    x = 61,568.42/278.35
  6. Step 6: Final answer
    x = 221.19

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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.