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Finding the Fourth Proportional to 278.42, 417.14 and 181.02

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Solution

The fourth proportional to 278.42, 417.14 and 181.02 is: 271.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    278.42 : 417.14 = 181.02 : x
  2. Step 2: Convert to fraction form
    278.42/417.14 = 181.02/x
  3. Step 3: Cross multiply
    278.42x = 417.14 × 181.02
  4. Step 4: Simplify right side
    278.42x = 75,510.68
  5. Step 5: Solve for x
    x = 75,510.68/278.42
  6. Step 6: Final answer
    x = 271.21

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Why These Related Problems?

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