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Finding the Fourth Proportional to 405.69, 608.54 and 162.23

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Solution

The fourth proportional to 405.69, 608.54 and 162.23 is: 243.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    405.69 : 608.54 = 162.23 : x
  2. Step 2: Convert to fraction form
    405.69/608.54 = 162.23/x
  3. Step 3: Cross multiply
    405.69x = 608.54 × 162.23
  4. Step 4: Simplify right side
    405.69x = 98,719.59
  5. Step 5: Solve for x
    x = 98,719.59/405.69
  6. Step 6: Final answer
    x = 243.34

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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.