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Finding the Fourth Proportional to 177.84, 267.78 and 164.40

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Solution

The fourth proportional to 177.84, 267.78 and 164.40 is: 247.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    177.84 : 267.78 = 164.40 : x
  2. Step 2: Convert to fraction form
    177.84/267.78 = 164.40/x
  3. Step 3: Cross multiply
    177.84x = 267.78 × 164.40
  4. Step 4: Simplify right side
    177.84x = 44,023.03
  5. Step 5: Solve for x
    x = 44,023.03/177.84
  6. Step 6: Final answer
    x = 247.54

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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.