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Finding the Fourth Proportional to 284.46, 426.54 and 140

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Solution

The fourth proportional to 284.46, 426.54 and 140 is: 209.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    284.46 : 426.54 = 140 : x
  2. Step 2: Convert to fraction form
    284.46/426.54 = 140/x
  3. Step 3: Cross multiply
    284.46x = 426.54 × 140
  4. Step 4: Simplify right side
    284.46x = 59,715.60
  5. Step 5: Solve for x
    x = 59,715.60/284.46
  6. Step 6: Final answer
    x = 209.93

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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.