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Finding the Fourth Proportional to 177.83, 245.23 and 134.09

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Solution

The fourth proportional to 177.83, 245.23 and 134.09 is: 184.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    177.83 : 245.23 = 134.09 : x
  2. Step 2: Convert to fraction form
    177.83/245.23 = 134.09/x
  3. Step 3: Cross multiply
    177.83x = 245.23 × 134.09
  4. Step 4: Simplify right side
    177.83x = 32,882.89
  5. Step 5: Solve for x
    x = 32,882.89/177.83
  6. Step 6: Final answer
    x = 184.91

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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.