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Finding the Fourth Proportional to 207.60, 288.50 and 205.03

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Solution

The fourth proportional to 207.60, 288.50 and 205.03 is: 284.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    207.60 : 288.50 = 205.03 : x
  2. Step 2: Convert to fraction form
    207.60/288.50 = 205.03/x
  3. Step 3: Cross multiply
    207.60x = 288.50 × 205.03
  4. Step 4: Simplify right side
    207.60x = 59,150.49
  5. Step 5: Solve for x
    x = 59,150.49/207.60
  6. Step 6: Final answer
    x = 284.93

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.