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Finding the Fourth Proportional to 207.09, 285.71 and 129.51

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Solution

The fourth proportional to 207.09, 285.71 and 129.51 is: 178.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    207.09 : 285.71 = 129.51 : x
  2. Step 2: Convert to fraction form
    207.09/285.71 = 129.51/x
  3. Step 3: Cross multiply
    207.09x = 285.71 × 129.51
  4. Step 4: Simplify right side
    207.09x = 37,001.65
  5. Step 5: Solve for x
    x = 37,001.65/207.09
  6. Step 6: Final answer
    x = 178.67

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.