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Finding the Fourth Proportional to 362.24, 543.26 and 102.18

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Solution

The fourth proportional to 362.24, 543.26 and 102.18 is: 153.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    362.24 : 543.26 = 102.18 : x
  2. Step 2: Convert to fraction form
    362.24/543.26 = 102.18/x
  3. Step 3: Cross multiply
    362.24x = 543.26 × 102.18
  4. Step 4: Simplify right side
    362.24x = 55,510.31
  5. Step 5: Solve for x
    x = 55,510.31/362.24
  6. Step 6: Final answer
    x = 153.24

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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.