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Finding the Fourth Proportional to 177.67, 245.19 and 100.05

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Solution

The fourth proportional to 177.67, 245.19 and 100.05 is: 138.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    177.67 : 245.19 = 100.05 : x
  2. Step 2: Convert to fraction form
    177.67/245.19 = 100.05/x
  3. Step 3: Cross multiply
    177.67x = 245.19 × 100.05
  4. Step 4: Simplify right side
    177.67x = 24,529.53
  5. Step 5: Solve for x
    x = 24,529.53/177.67
  6. Step 6: Final answer
    x = 138.06

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Why These Related Problems?

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