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Finding the Fourth Proportional to 179.11, 267.35 and 177.59

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Solution

The fourth proportional to 179.11, 267.35 and 177.59 is: 265.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    179.11 : 267.35 = 177.59 : x
  2. Step 2: Convert to fraction form
    179.11/267.35 = 177.59/x
  3. Step 3: Cross multiply
    179.11x = 267.35 × 177.59
  4. Step 4: Simplify right side
    179.11x = 47,479.47
  5. Step 5: Solve for x
    x = 47,479.47/179.11
  6. Step 6: Final answer
    x = 265.08

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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.