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Finding the Fourth Proportional to 177.03, 265.74 and 164.34

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Solution

The fourth proportional to 177.03, 265.74 and 164.34 is: 246.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    177.03 : 265.74 = 164.34 : x
  2. Step 2: Convert to fraction form
    177.03/265.74 = 164.34/x
  3. Step 3: Cross multiply
    177.03x = 265.74 × 164.34
  4. Step 4: Simplify right side
    177.03x = 43,671.71
  5. Step 5: Solve for x
    x = 43,671.71/177.03
  6. Step 6: Final answer
    x = 246.69

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.