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Finding the Fourth Proportional to 283.45, 424.90 and 110.01

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Solution

The fourth proportional to 283.45, 424.90 and 110.01 is: 164.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    283.45 : 424.90 = 110.01 : x
  2. Step 2: Convert to fraction form
    283.45/424.90 = 110.01/x
  3. Step 3: Cross multiply
    283.45x = 424.90 × 110.01
  4. Step 4: Simplify right side
    283.45x = 46,743.25
  5. Step 5: Solve for x
    x = 46,743.25/283.45
  6. Step 6: Final answer
    x = 164.91

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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.