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Finding the Fourth Proportional to 206.15, 284.48 and 123.24

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Solution

The fourth proportional to 206.15, 284.48 and 123.24 is: 170.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    206.15 : 284.48 = 123.24 : x
  2. Step 2: Convert to fraction form
    206.15/284.48 = 123.24/x
  3. Step 3: Cross multiply
    206.15x = 284.48 × 123.24
  4. Step 4: Simplify right side
    206.15x = 35,058.09
  5. Step 5: Solve for x
    x = 35,058.09/206.15
  6. Step 6: Final answer
    x = 170.06

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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.