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Finding the Fourth Proportional to 405.67, 608.20 and 162.01

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Solution

The fourth proportional to 405.67, 608.20 and 162.01 is: 242.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    405.67 : 608.20 = 162.01 : x
  2. Step 2: Convert to fraction form
    405.67/608.20 = 162.01/x
  3. Step 3: Cross multiply
    405.67x = 608.20 × 162.01
  4. Step 4: Simplify right side
    405.67x = 98,534.48
  5. Step 5: Solve for x
    x = 98,534.48/405.67
  6. Step 6: Final answer
    x = 242.89

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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.