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Finding the Fourth Proportional to 280.36, 419.82 and 183.88

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Solution

The fourth proportional to 280.36, 419.82 and 183.88 is: 275.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    280.36 : 419.82 = 183.88 : x
  2. Step 2: Convert to fraction form
    280.36/419.82 = 183.88/x
  3. Step 3: Cross multiply
    280.36x = 419.82 × 183.88
  4. Step 4: Simplify right side
    280.36x = 77,196.50
  5. Step 5: Solve for x
    x = 77,196.50/280.36
  6. Step 6: Final answer
    x = 275.35

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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.