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Finding the Fourth Proportional to 320.74, 442.61 and 178.94

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Solution

The fourth proportional to 320.74, 442.61 and 178.94 is: 246.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    320.74 : 442.61 = 178.94 : x
  2. Step 2: Convert to fraction form
    320.74/442.61 = 178.94/x
  3. Step 3: Cross multiply
    320.74x = 442.61 × 178.94
  4. Step 4: Simplify right side
    320.74x = 79,200.63
  5. Step 5: Solve for x
    x = 79,200.63/320.74
  6. Step 6: Final answer
    x = 246.93

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.