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Finding the Fourth Proportional to 177.84, 268.06 and 167.36

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Solution

The fourth proportional to 177.84, 268.06 and 167.36 is: 252.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    177.84 : 268.06 = 167.36 : x
  2. Step 2: Convert to fraction form
    177.84/268.06 = 167.36/x
  3. Step 3: Cross multiply
    177.84x = 268.06 × 167.36
  4. Step 4: Simplify right side
    177.84x = 44,862.52
  5. Step 5: Solve for x
    x = 44,862.52/177.84
  6. Step 6: Final answer
    x = 252.26

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.