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Finding the Fourth Proportional to 405.55, 608.19 and 162.10

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Solution

The fourth proportional to 405.55, 608.19 and 162.10 is: 243.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    405.55 : 608.19 = 162.10 : x
  2. Step 2: Convert to fraction form
    405.55/608.19 = 162.10/x
  3. Step 3: Cross multiply
    405.55x = 608.19 × 162.10
  4. Step 4: Simplify right side
    405.55x = 98,587.60
  5. Step 5: Solve for x
    x = 98,587.60/405.55
  6. Step 6: Final answer
    x = 243.10

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.