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Finding the Fourth Proportional to 671.03, 1,006.58 and 184.12

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Solution

The fourth proportional to 671.03, 1,006.58 and 184.12 is: 276.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    671.03 : 1,006.58 = 184.12 : x
  2. Step 2: Convert to fraction form
    671.03/1,006.58 = 184.12/x
  3. Step 3: Cross multiply
    671.03x = 1,006.58 × 184.12
  4. Step 4: Simplify right side
    671.03x = 185,334.08
  5. Step 5: Solve for x
    x = 185,334.08/671.03
  6. Step 6: Final answer
    x = 276.19

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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.