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Finding the Fourth Proportional to 280.32, 420.62 and 193.79

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Solution

The fourth proportional to 280.32, 420.62 and 193.79 is: 290.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    280.32 : 420.62 = 193.79 : x
  2. Step 2: Convert to fraction form
    280.32/420.62 = 193.79/x
  3. Step 3: Cross multiply
    280.32x = 420.62 × 193.79
  4. Step 4: Simplify right side
    280.32x = 81,508.88
  5. Step 5: Solve for x
    x = 81,508.88/280.32
  6. Step 6: Final answer
    x = 290.77

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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.