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Finding the Fourth Proportional to 278.17, 417.18 and 181.35

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Solution

The fourth proportional to 278.17, 417.18 and 181.35 is: 271.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    278.17 : 417.18 = 181.35 : x
  2. Step 2: Convert to fraction form
    278.17/417.18 = 181.35/x
  3. Step 3: Cross multiply
    278.17x = 417.18 × 181.35
  4. Step 4: Simplify right side
    278.17x = 75,655.59
  5. Step 5: Solve for x
    x = 75,655.59/278.17
  6. Step 6: Final answer
    x = 271.98

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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.