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Finding the Fourth Proportional to 177.78, 266.34 and 154.56

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Solution

The fourth proportional to 177.78, 266.34 and 154.56 is: 231.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    177.78 : 266.34 = 154.56 : x
  2. Step 2: Convert to fraction form
    177.78/266.34 = 154.56/x
  3. Step 3: Cross multiply
    177.78x = 266.34 × 154.56
  4. Step 4: Simplify right side
    177.78x = 41,165.51
  5. Step 5: Solve for x
    x = 41,165.51/177.78
  6. Step 6: Final answer
    x = 231.55

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.