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Finding the Fourth Proportional to 177.60, 265.11 and 164.24

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Solution

The fourth proportional to 177.60, 265.11 and 164.24 is: 245.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    177.60 : 265.11 = 164.24 : x
  2. Step 2: Convert to fraction form
    177.60/265.11 = 164.24/x
  3. Step 3: Cross multiply
    177.60x = 265.11 × 164.24
  4. Step 4: Simplify right side
    177.60x = 43,540.75
  5. Step 5: Solve for x
    x = 43,540.75/177.60
  6. Step 6: Final answer
    x = 245.16

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.