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Finding the Fourth Proportional to 179.64, 267.84 and 177.66

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Solution

The fourth proportional to 179.64, 267.84 and 177.66 is: 264.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    179.64 : 267.84 = 177.66 : x
  2. Step 2: Convert to fraction form
    179.64/267.84 = 177.66/x
  3. Step 3: Cross multiply
    179.64x = 267.84 × 177.66
  4. Step 4: Simplify right side
    179.64x = 47,584.45
  5. Step 5: Solve for x
    x = 47,584.45/179.64
  6. Step 6: Final answer
    x = 264.89

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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.