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Finding the Fourth Proportional to 180.08, 268.61 and 177.38

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Solution

The fourth proportional to 180.08, 268.61 and 177.38 is: 264.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    180.08 : 268.61 = 177.38 : x
  2. Step 2: Convert to fraction form
    180.08/268.61 = 177.38/x
  3. Step 3: Cross multiply
    180.08x = 268.61 × 177.38
  4. Step 4: Simplify right side
    180.08x = 47,646.04
  5. Step 5: Solve for x
    x = 47,646.04/180.08
  6. Step 6: Final answer
    x = 264.58

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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.