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Finding the Fourth Proportional to 207.09, 308.87 and 174.80

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Solution

The fourth proportional to 207.09, 308.87 and 174.80 is: 260.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    207.09 : 308.87 = 174.80 : x
  2. Step 2: Convert to fraction form
    207.09/308.87 = 174.80/x
  3. Step 3: Cross multiply
    207.09x = 308.87 × 174.80
  4. Step 4: Simplify right side
    207.09x = 53,988.06
  5. Step 5: Solve for x
    x = 53,988.06/207.09
  6. Step 6: Final answer
    x = 260.70

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.