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Finding the Fourth Proportional to 177.06, 264.60 and 158.99

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Solution

The fourth proportional to 177.06, 264.60 and 158.99 is: 237.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    177.06 : 264.60 = 158.99 : x
  2. Step 2: Convert to fraction form
    177.06/264.60 = 158.99/x
  3. Step 3: Cross multiply
    177.06x = 264.60 × 158.99
  4. Step 4: Simplify right side
    177.06x = 42,067.43
  5. Step 5: Solve for x
    x = 42,067.43/177.06
  6. Step 6: Final answer
    x = 237.59

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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.