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Finding the Fourth Proportional to 364.08, 546.04 and 181.36

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Solution

The fourth proportional to 364.08, 546.04 and 181.36 is: 272.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    364.08 : 546.04 = 181.36 : x
  2. Step 2: Convert to fraction form
    364.08/546.04 = 181.36/x
  3. Step 3: Cross multiply
    364.08x = 546.04 × 181.36
  4. Step 4: Simplify right side
    364.08x = 99,029.81
  5. Step 5: Solve for x
    x = 99,029.81/364.08
  6. Step 6: Final answer
    x = 272.00

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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.