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Finding the Fourth Proportional to 177.96, 245.54 and 100.34

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Solution

The fourth proportional to 177.96, 245.54 and 100.34 is: 138.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    177.96 : 245.54 = 100.34 : x
  2. Step 2: Convert to fraction form
    177.96/245.54 = 100.34/x
  3. Step 3: Cross multiply
    177.96x = 245.54 × 100.34
  4. Step 4: Simplify right side
    177.96x = 24,636.51
  5. Step 5: Solve for x
    x = 24,636.51/177.96
  6. Step 6: Final answer
    x = 138.44

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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.