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Finding the Fourth Proportional to 491.06, 736.12 and 182.84

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Solution

The fourth proportional to 491.06, 736.12 and 182.84 is: 274.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    491.06 : 736.12 = 182.84 : x
  2. Step 2: Convert to fraction form
    491.06/736.12 = 182.84/x
  3. Step 3: Cross multiply
    491.06x = 736.12 × 182.84
  4. Step 4: Simplify right side
    491.06x = 134,592.18
  5. Step 5: Solve for x
    x = 134,592.18/491.06
  6. Step 6: Final answer
    x = 274.09

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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.