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Finding the Fourth Proportional to 364.77, 546.84 and 177.05

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Solution

The fourth proportional to 364.77, 546.84 and 177.05 is: 265.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    364.77 : 546.84 = 177.05 : x
  2. Step 2: Convert to fraction form
    364.77/546.84 = 177.05/x
  3. Step 3: Cross multiply
    364.77x = 546.84 × 177.05
  4. Step 4: Simplify right side
    364.77x = 96,819.39
  5. Step 5: Solve for x
    x = 96,819.39/364.77
  6. Step 6: Final answer
    x = 265.43

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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.