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Finding the Fourth Proportional to 280.23, 419.96 and 106.72

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Solution

The fourth proportional to 280.23, 419.96 and 106.72 is: 159.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    280.23 : 419.96 = 106.72 : x
  2. Step 2: Convert to fraction form
    280.23/419.96 = 106.72/x
  3. Step 3: Cross multiply
    280.23x = 419.96 × 106.72
  4. Step 4: Simplify right side
    280.23x = 44,818.13
  5. Step 5: Solve for x
    x = 44,818.13/280.23
  6. Step 6: Final answer
    x = 159.93

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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.