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Finding the Fourth Proportional to 283.18, 424.55 and 97.99

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Solution

The fourth proportional to 283.18, 424.55 and 97.99 is: 146.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    283.18 : 424.55 = 97.99 : x
  2. Step 2: Convert to fraction form
    283.18/424.55 = 97.99/x
  3. Step 3: Cross multiply
    283.18x = 424.55 × 97.99
  4. Step 4: Simplify right side
    283.18x = 41,601.65
  5. Step 5: Solve for x
    x = 41,601.65/283.18
  6. Step 6: Final answer
    x = 146.91

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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.