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Finding the Fourth Proportional to 179.08, 266.94 and 177.46

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Solution

The fourth proportional to 179.08, 266.94 and 177.46 is: 264.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    179.08 : 266.94 = 177.46 : x
  2. Step 2: Convert to fraction form
    179.08/266.94 = 177.46/x
  3. Step 3: Cross multiply
    179.08x = 266.94 × 177.46
  4. Step 4: Simplify right side
    179.08x = 47,371.17
  5. Step 5: Solve for x
    x = 47,371.17/179.08
  6. Step 6: Final answer
    x = 264.53

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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.