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Finding the Fourth Proportional to 280.23, 420.42 and 97.63

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Solution

The fourth proportional to 280.23, 420.42 and 97.63 is: 146.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    280.23 : 420.42 = 97.63 : x
  2. Step 2: Convert to fraction form
    280.23/420.42 = 97.63/x
  3. Step 3: Cross multiply
    280.23x = 420.42 × 97.63
  4. Step 4: Simplify right side
    280.23x = 41,045.60
  5. Step 5: Solve for x
    x = 41,045.60/280.23
  6. Step 6: Final answer
    x = 146.47

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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.