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Finding the Fourth Proportional to 280.46, 420.24 and 117.92

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Solution

The fourth proportional to 280.46, 420.24 and 117.92 is: 176.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    280.46 : 420.24 = 117.92 : x
  2. Step 2: Convert to fraction form
    280.46/420.24 = 117.92/x
  3. Step 3: Cross multiply
    280.46x = 420.24 × 117.92
  4. Step 4: Simplify right side
    280.46x = 49,554.70
  5. Step 5: Solve for x
    x = 49,554.70/280.46
  6. Step 6: Final answer
    x = 176.69

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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.