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Finding the Fourth Proportional to 207.07, 310.91 and 189.45

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Solution

The fourth proportional to 207.07, 310.91 and 189.45 is: 284.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    207.07 : 310.91 = 189.45 : x
  2. Step 2: Convert to fraction form
    207.07/310.91 = 189.45/x
  3. Step 3: Cross multiply
    207.07x = 310.91 × 189.45
  4. Step 4: Simplify right side
    207.07x = 58,900.95
  5. Step 5: Solve for x
    x = 58,900.95/207.07
  6. Step 6: Final answer
    x = 284.45

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.