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Finding the Fourth Proportional to 179.96, 267.93 and 177.40

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Solution

The fourth proportional to 179.96, 267.93 and 177.40 is: 264.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    179.96 : 267.93 = 177.40 : x
  2. Step 2: Convert to fraction form
    179.96/267.93 = 177.40/x
  3. Step 3: Cross multiply
    179.96x = 267.93 × 177.40
  4. Step 4: Simplify right side
    179.96x = 47,530.78
  5. Step 5: Solve for x
    x = 47,530.78/179.96
  6. Step 6: Final answer
    x = 264.11

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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.