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Finding the Fourth Proportional to 207.84, 310.88 and 188.84

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Solution

The fourth proportional to 207.84, 310.88 and 188.84 is: 282.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    207.84 : 310.88 = 188.84 : x
  2. Step 2: Convert to fraction form
    207.84/310.88 = 188.84/x
  3. Step 3: Cross multiply
    207.84x = 310.88 × 188.84
  4. Step 4: Simplify right side
    207.84x = 58,706.58
  5. Step 5: Solve for x
    x = 58,706.58/207.84
  6. Step 6: Final answer
    x = 282.46

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