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Finding the Fourth Proportional to 280.40, 420.50 and 97.78

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Solution

The fourth proportional to 280.40, 420.50 and 97.78 is: 146.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    280.40 : 420.50 = 97.78 : x
  2. Step 2: Convert to fraction form
    280.40/420.50 = 97.78/x
  3. Step 3: Cross multiply
    280.40x = 420.50 × 97.78
  4. Step 4: Simplify right side
    280.40x = 41,116.49
  5. Step 5: Solve for x
    x = 41,116.49/280.40
  6. Step 6: Final answer
    x = 146.64

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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.