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Finding the Fourth Proportional to 280.02, 419.65 and 106.51

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Solution

The fourth proportional to 280.02, 419.65 and 106.51 is: 159.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    280.02 : 419.65 = 106.51 : x
  2. Step 2: Convert to fraction form
    280.02/419.65 = 106.51/x
  3. Step 3: Cross multiply
    280.02x = 419.65 × 106.51
  4. Step 4: Simplify right side
    280.02x = 44,696.92
  5. Step 5: Solve for x
    x = 44,696.92/280.02
  6. Step 6: Final answer
    x = 159.62

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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.