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Finding the Fourth Proportional to 491.34, 736.83 and 162.22

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Solution

The fourth proportional to 491.34, 736.83 and 162.22 is: 243.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    491.34 : 736.83 = 162.22 : x
  2. Step 2: Convert to fraction form
    491.34/736.83 = 162.22/x
  3. Step 3: Cross multiply
    491.34x = 736.83 × 162.22
  4. Step 4: Simplify right side
    491.34x = 119,526.72
  5. Step 5: Solve for x
    x = 119,526.72/491.34
  6. Step 6: Final answer
    x = 243.27

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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.