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Finding the Fourth Proportional to 278.40, 417.81 and 191.55

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Solution

The fourth proportional to 278.40, 417.81 and 191.55 is: 287.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    278.40 : 417.81 = 191.55 : x
  2. Step 2: Convert to fraction form
    278.40/417.81 = 191.55/x
  3. Step 3: Cross multiply
    278.40x = 417.81 × 191.55
  4. Step 4: Simplify right side
    278.40x = 80,031.51
  5. Step 5: Solve for x
    x = 80,031.51/278.40
  6. Step 6: Final answer
    x = 287.47

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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.