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Finding the Fourth Proportional to 177.78, 245.28 and 100.14

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Solution

The fourth proportional to 177.78, 245.28 and 100.14 is: 138.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    177.78 : 245.28 = 100.14 : x
  2. Step 2: Convert to fraction form
    177.78/245.28 = 100.14/x
  3. Step 3: Cross multiply
    177.78x = 245.28 × 100.14
  4. Step 4: Simplify right side
    177.78x = 24,562.34
  5. Step 5: Solve for x
    x = 24,562.34/177.78
  6. Step 6: Final answer
    x = 138.16

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.