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Finding the Fourth Proportional to 177.78, 266.60 and 62.22

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Solution

The fourth proportional to 177.78, 266.60 and 62.22 is: 93.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    177.78 : 266.60 = 62.22 : x
  2. Step 2: Convert to fraction form
    177.78/266.60 = 62.22/x
  3. Step 3: Cross multiply
    177.78x = 266.60 × 62.22
  4. Step 4: Simplify right side
    177.78x = 16,587.60
  5. Step 5: Solve for x
    x = 16,587.60/177.78
  6. Step 6: Final answer
    x = 93.31

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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.