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Finding the Fourth Proportional to 280.83, 420.97 and 98.10

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Solution

The fourth proportional to 280.83, 420.97 and 98.10 is: 147.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    280.83 : 420.97 = 98.10 : x
  2. Step 2: Convert to fraction form
    280.83/420.97 = 98.10/x
  3. Step 3: Cross multiply
    280.83x = 420.97 × 98.10
  4. Step 4: Simplify right side
    280.83x = 41,298.49
  5. Step 5: Solve for x
    x = 41,298.49/280.83
  6. Step 6: Final answer
    x = 147.06

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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.