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Finding the Fourth Proportional to 280.07, 420 and 97.42

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Solution

The fourth proportional to 280.07, 420 and 97.42 is: 146.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    280.07 : 420 = 97.42 : x
  2. Step 2: Convert to fraction form
    280.07/420 = 97.42/x
  3. Step 3: Cross multiply
    280.07x = 420 × 97.42
  4. Step 4: Simplify right side
    280.07x = 40,916.40
  5. Step 5: Solve for x
    x = 40,916.40/280.07
  6. Step 6: Final answer
    x = 146.09

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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.