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Finding the Fourth Proportional to 280.57, 420.65 and 136.19

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Solution

The fourth proportional to 280.57, 420.65 and 136.19 is: 204.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    280.57 : 420.65 = 136.19 : x
  2. Step 2: Convert to fraction form
    280.57/420.65 = 136.19/x
  3. Step 3: Cross multiply
    280.57x = 420.65 × 136.19
  4. Step 4: Simplify right side
    280.57x = 57,288.32
  5. Step 5: Solve for x
    x = 57,288.32/280.57
  6. Step 6: Final answer
    x = 204.19

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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.