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Finding the Fourth Proportional to 179.78, 269.64 and 51.50

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Solution

The fourth proportional to 179.78, 269.64 and 51.50 is: 77.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    179.78 : 269.64 = 51.50 : x
  2. Step 2: Convert to fraction form
    179.78/269.64 = 51.50/x
  3. Step 3: Cross multiply
    179.78x = 269.64 × 51.50
  4. Step 4: Simplify right side
    179.78x = 13,886.46
  5. Step 5: Solve for x
    x = 13,886.46/179.78
  6. Step 6: Final answer
    x = 77.24

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.