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Finding the Fourth Proportional to 278.84, 417.63 and 197.42

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Solution

The fourth proportional to 278.84, 417.63 and 197.42 is: 295.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    278.84 : 417.63 = 197.42 : x
  2. Step 2: Convert to fraction form
    278.84/417.63 = 197.42/x
  3. Step 3: Cross multiply
    278.84x = 417.63 × 197.42
  4. Step 4: Simplify right side
    278.84x = 82,448.51
  5. Step 5: Solve for x
    x = 82,448.51/278.84
  6. Step 6: Final answer
    x = 295.68

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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.