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Finding the Fourth Proportional to 283.94, 426.01 and 98.88

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Solution

The fourth proportional to 283.94, 426.01 and 98.88 is: 148.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    283.94 : 426.01 = 98.88 : x
  2. Step 2: Convert to fraction form
    283.94/426.01 = 98.88/x
  3. Step 3: Cross multiply
    283.94x = 426.01 × 98.88
  4. Step 4: Simplify right side
    283.94x = 42,123.87
  5. Step 5: Solve for x
    x = 42,123.87/283.94
  6. Step 6: Final answer
    x = 148.35

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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.