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Finding the Fourth Proportional to 283.18, 424.81 and 98.03

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Solution

The fourth proportional to 283.18, 424.81 and 98.03 is: 147.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    283.18 : 424.81 = 98.03 : x
  2. Step 2: Convert to fraction form
    283.18/424.81 = 98.03/x
  3. Step 3: Cross multiply
    283.18x = 424.81 × 98.03
  4. Step 4: Simplify right side
    283.18x = 41,644.12
  5. Step 5: Solve for x
    x = 41,644.12/283.18
  6. Step 6: Final answer
    x = 147.06

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.