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Finding the Fourth Proportional to 177.12, 245.57 and 167.40

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Solution

The fourth proportional to 177.12, 245.57 and 167.40 is: 232.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    177.12 : 245.57 = 167.40 : x
  2. Step 2: Convert to fraction form
    177.12/245.57 = 167.40/x
  3. Step 3: Cross multiply
    177.12x = 245.57 × 167.40
  4. Step 4: Simplify right side
    177.12x = 41,108.42
  5. Step 5: Solve for x
    x = 41,108.42/177.12
  6. Step 6: Final answer
    x = 232.09

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.