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Finding the Fourth Proportional to 207.34, 284.22 and 206.93

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Solution

The fourth proportional to 207.34, 284.22 and 206.93 is: 283.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    207.34 : 284.22 = 206.93 : x
  2. Step 2: Convert to fraction form
    207.34/284.22 = 206.93/x
  3. Step 3: Cross multiply
    207.34x = 284.22 × 206.93
  4. Step 4: Simplify right side
    207.34x = 58,813.64
  5. Step 5: Solve for x
    x = 58,813.64/207.34
  6. Step 6: Final answer
    x = 283.66

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.