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Finding the Fourth Proportional to 436.10, 654.10 and 162.17

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Solution

The fourth proportional to 436.10, 654.10 and 162.17 is: 243.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    436.10 : 654.10 = 162.17 : x
  2. Step 2: Convert to fraction form
    436.10/654.10 = 162.17/x
  3. Step 3: Cross multiply
    436.10x = 654.10 × 162.17
  4. Step 4: Simplify right side
    436.10x = 106,075.40
  5. Step 5: Solve for x
    x = 106,075.40/436.10
  6. Step 6: Final answer
    x = 243.24

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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.