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Finding the Fourth Proportional to 362.07, 543.41 and 145.65

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Solution

The fourth proportional to 362.07, 543.41 and 145.65 is: 218.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    362.07 : 543.41 = 145.65 : x
  2. Step 2: Convert to fraction form
    362.07/543.41 = 145.65/x
  3. Step 3: Cross multiply
    362.07x = 543.41 × 145.65
  4. Step 4: Simplify right side
    362.07x = 79,146.94
  5. Step 5: Solve for x
    x = 79,146.94/362.07
  6. Step 6: Final answer
    x = 218.60

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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.