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Finding the Fourth Proportional to 179.78, 268.71 and 156.46

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Solution

The fourth proportional to 179.78, 268.71 and 156.46 is: 233.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    179.78 : 268.71 = 156.46 : x
  2. Step 2: Convert to fraction form
    179.78/268.71 = 156.46/x
  3. Step 3: Cross multiply
    179.78x = 268.71 × 156.46
  4. Step 4: Simplify right side
    179.78x = 42,041.69
  5. Step 5: Solve for x
    x = 42,041.69/179.78
  6. Step 6: Final answer
    x = 233.86

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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.