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Finding the Fourth Proportional to 177.36, 244.72 and 99.74

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Solution

The fourth proportional to 177.36, 244.72 and 99.74 is: 137.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    177.36 : 244.72 = 99.74 : x
  2. Step 2: Convert to fraction form
    177.36/244.72 = 99.74/x
  3. Step 3: Cross multiply
    177.36x = 244.72 × 99.74
  4. Step 4: Simplify right side
    177.36x = 24,408.37
  5. Step 5: Solve for x
    x = 24,408.37/177.36
  6. Step 6: Final answer
    x = 137.62

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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.