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Finding the Fourth Proportional to 177, 264.06 and 170.69

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Solution

The fourth proportional to 177, 264.06 and 170.69 is: 254.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    177 : 264.06 = 170.69 : x
  2. Step 2: Convert to fraction form
    177/264.06 = 170.69/x
  3. Step 3: Cross multiply
    177x = 264.06 × 170.69
  4. Step 4: Simplify right side
    177x = 45,071.08
  5. Step 5: Solve for x
    x = 45,071.08/177
  6. Step 6: Final answer
    x = 254.64

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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.