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Finding the Fourth Proportional to 207.07, 285.26 and 177.47

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Solution

The fourth proportional to 207.07, 285.26 and 177.47 is: 244.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    207.07 : 285.26 = 177.47 : x
  2. Step 2: Convert to fraction form
    207.07/285.26 = 177.47/x
  3. Step 3: Cross multiply
    207.07x = 285.26 × 177.47
  4. Step 4: Simplify right side
    207.07x = 50,625.90
  5. Step 5: Solve for x
    x = 50,625.90/207.07
  6. Step 6: Final answer
    x = 244.48

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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.