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Finding the Fourth Proportional to 169.01, 253.61 and 142.28

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Solution

The fourth proportional to 169.01, 253.61 and 142.28 is: 213.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    169.01 : 253.61 = 142.28 : x
  2. Step 2: Convert to fraction form
    169.01/253.61 = 142.28/x
  3. Step 3: Cross multiply
    169.01x = 253.61 × 142.28
  4. Step 4: Simplify right side
    169.01x = 36,083.63
  5. Step 5: Solve for x
    x = 36,083.63/169.01
  6. Step 6: Final answer
    x = 213.50

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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.