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Finding the Fourth Proportional to 405.95, 609.12 and 162.68

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Solution

The fourth proportional to 405.95, 609.12 and 162.68 is: 244.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    405.95 : 609.12 = 162.68 : x
  2. Step 2: Convert to fraction form
    405.95/609.12 = 162.68/x
  3. Step 3: Cross multiply
    405.95x = 609.12 × 162.68
  4. Step 4: Simplify right side
    405.95x = 99,091.64
  5. Step 5: Solve for x
    x = 99,091.64/405.95
  6. Step 6: Final answer
    x = 244.10

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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.