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Finding the Fourth Proportional to 177.74, 267.66 and 155.19

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Solution

The fourth proportional to 177.74, 267.66 and 155.19 is: 233.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    177.74 : 267.66 = 155.19 : x
  2. Step 2: Convert to fraction form
    177.74/267.66 = 155.19/x
  3. Step 3: Cross multiply
    177.74x = 267.66 × 155.19
  4. Step 4: Simplify right side
    177.74x = 41,537.38
  5. Step 5: Solve for x
    x = 41,537.38/177.74
  6. Step 6: Final answer
    x = 233.70

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.