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Finding the Fourth Proportional to 177.48, 264.94 and 164.64

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Solution

The fourth proportional to 177.48, 264.94 and 164.64 is: 245.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    177.48 : 264.94 = 164.64 : x
  2. Step 2: Convert to fraction form
    177.48/264.94 = 164.64/x
  3. Step 3: Cross multiply
    177.48x = 264.94 × 164.64
  4. Step 4: Simplify right side
    177.48x = 43,619.72
  5. Step 5: Solve for x
    x = 43,619.72/177.48
  6. Step 6: Final answer
    x = 245.77

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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.