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Finding the Fourth Proportional to 362.55, 543.81 and 146.07

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Solution

The fourth proportional to 362.55, 543.81 and 146.07 is: 219.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    362.55 : 543.81 = 146.07 : x
  2. Step 2: Convert to fraction form
    362.55/543.81 = 146.07/x
  3. Step 3: Cross multiply
    362.55x = 543.81 × 146.07
  4. Step 4: Simplify right side
    362.55x = 79,434.33
  5. Step 5: Solve for x
    x = 79,434.33/362.55
  6. Step 6: Final answer
    x = 219.10

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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.