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Finding the Fourth Proportional to 185.03, 254.97 and 177.53

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Solution

The fourth proportional to 185.03, 254.97 and 177.53 is: 244.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    185.03 : 254.97 = 177.53 : x
  2. Step 2: Convert to fraction form
    185.03/254.97 = 177.53/x
  3. Step 3: Cross multiply
    185.03x = 254.97 × 177.53
  4. Step 4: Simplify right side
    185.03x = 45,265.46
  5. Step 5: Solve for x
    x = 45,265.46/185.03
  6. Step 6: Final answer
    x = 244.65

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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.