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Finding the Fourth Proportional to 280.45, 420.72 and 97.80

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Solution

The fourth proportional to 280.45, 420.72 and 97.80 is: 146.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    280.45 : 420.72 = 97.80 : x
  2. Step 2: Convert to fraction form
    280.45/420.72 = 97.80/x
  3. Step 3: Cross multiply
    280.45x = 420.72 × 97.80
  4. Step 4: Simplify right side
    280.45x = 41,146.42
  5. Step 5: Solve for x
    x = 41,146.42/280.45
  6. Step 6: Final answer
    x = 146.72

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.