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Finding the Fourth Proportional to 283.01, 390.49 and 164.94

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Solution

The fourth proportional to 283.01, 390.49 and 164.94 is: 227.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    283.01 : 390.49 = 164.94 : x
  2. Step 2: Convert to fraction form
    283.01/390.49 = 164.94/x
  3. Step 3: Cross multiply
    283.01x = 390.49 × 164.94
  4. Step 4: Simplify right side
    283.01x = 64,407.01
  5. Step 5: Solve for x
    x = 64,407.01/283.01
  6. Step 6: Final answer
    x = 227.58

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.