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Finding the Fourth Proportional to 280.32, 420.46 and 97.72

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Solution

The fourth proportional to 280.32, 420.46 and 97.72 is: 146.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    280.32 : 420.46 = 97.72 : x
  2. Step 2: Convert to fraction form
    280.32/420.46 = 97.72/x
  3. Step 3: Cross multiply
    280.32x = 420.46 × 97.72
  4. Step 4: Simplify right side
    280.32x = 41,087.35
  5. Step 5: Solve for x
    x = 41,087.35/280.32
  6. Step 6: Final answer
    x = 146.57

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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.