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Finding the Fourth Proportional to 280.16, 419.78 and 97.46

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Solution

The fourth proportional to 280.16, 419.78 and 97.46 is: 146.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    280.16 : 419.78 = 97.46 : x
  2. Step 2: Convert to fraction form
    280.16/419.78 = 97.46/x
  3. Step 3: Cross multiply
    280.16x = 419.78 × 97.46
  4. Step 4: Simplify right side
    280.16x = 40,911.76
  5. Step 5: Solve for x
    x = 40,911.76/280.16
  6. Step 6: Final answer
    x = 146.03

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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.