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Finding the Fourth Proportional to 280.41, 420.58 and 97.80

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Solution

The fourth proportional to 280.41, 420.58 and 97.80 is: 146.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    280.41 : 420.58 = 97.80 : x
  2. Step 2: Convert to fraction form
    280.41/420.58 = 97.80/x
  3. Step 3: Cross multiply
    280.41x = 420.58 × 97.80
  4. Step 4: Simplify right side
    280.41x = 41,132.72
  5. Step 5: Solve for x
    x = 41,132.72/280.41
  6. Step 6: Final answer
    x = 146.69

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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.