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Finding the Fourth Proportional to 207.40, 285.46 and 189

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Solution

The fourth proportional to 207.40, 285.46 and 189 is: 260.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    207.40 : 285.46 = 189 : x
  2. Step 2: Convert to fraction form
    207.40/285.46 = 189/x
  3. Step 3: Cross multiply
    207.40x = 285.46 × 189
  4. Step 4: Simplify right side
    207.40x = 53,951.94
  5. Step 5: Solve for x
    x = 53,951.94/207.40
  6. Step 6: Final answer
    x = 260.13

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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.