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Finding the Fourth Proportional to 491.32, 736.90 and 162.26

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Solution

The fourth proportional to 491.32, 736.90 and 162.26 is: 243.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    491.32 : 736.90 = 162.26 : x
  2. Step 2: Convert to fraction form
    491.32/736.90 = 162.26/x
  3. Step 3: Cross multiply
    491.32x = 736.90 × 162.26
  4. Step 4: Simplify right side
    491.32x = 119,570.83
  5. Step 5: Solve for x
    x = 119,570.83/491.32
  6. Step 6: Final answer
    x = 243.37

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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.