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Finding the Fourth Proportional to 278.10, 383.78 and 180.02

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Solution

The fourth proportional to 278.10, 383.78 and 180.02 is: 248.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    278.10 : 383.78 = 180.02 : x
  2. Step 2: Convert to fraction form
    278.10/383.78 = 180.02/x
  3. Step 3: Cross multiply
    278.10x = 383.78 × 180.02
  4. Step 4: Simplify right side
    278.10x = 69,088.08
  5. Step 5: Solve for x
    x = 69,088.08/278.10
  6. Step 6: Final answer
    x = 248.43

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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.