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Finding the Fourth Proportional to 364.88, 546.64 and 181.84

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Solution

The fourth proportional to 364.88, 546.64 and 181.84 is: 272.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    364.88 : 546.64 = 181.84 : x
  2. Step 2: Convert to fraction form
    364.88/546.64 = 181.84/x
  3. Step 3: Cross multiply
    364.88x = 546.64 × 181.84
  4. Step 4: Simplify right side
    364.88x = 99,401.02
  5. Step 5: Solve for x
    x = 99,401.02/364.88
  6. Step 6: Final answer
    x = 272.42

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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.