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Finding the Fourth Proportional to 207.12, 285.12 and 177.84

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Solution

The fourth proportional to 207.12, 285.12 and 177.84 is: 244.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    207.12 : 285.12 = 177.84 : x
  2. Step 2: Convert to fraction form
    207.12/285.12 = 177.84/x
  3. Step 3: Cross multiply
    207.12x = 285.12 × 177.84
  4. Step 4: Simplify right side
    207.12x = 50,705.74
  5. Step 5: Solve for x
    x = 50,705.74/207.12
  6. Step 6: Final answer
    x = 244.81

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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.