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Finding the Fourth Proportional to 207.65, 312.70 and 180.92

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Solution

The fourth proportional to 207.65, 312.70 and 180.92 is: 272.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    207.65 : 312.70 = 180.92 : x
  2. Step 2: Convert to fraction form
    207.65/312.70 = 180.92/x
  3. Step 3: Cross multiply
    207.65x = 312.70 × 180.92
  4. Step 4: Simplify right side
    207.65x = 56,573.68
  5. Step 5: Solve for x
    x = 56,573.68/207.65
  6. Step 6: Final answer
    x = 272.45

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.