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Finding the Fourth Proportional to 362.42, 543.62 and 88.51

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Solution

The fourth proportional to 362.42, 543.62 and 88.51 is: 132.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    362.42 : 543.62 = 88.51 : x
  2. Step 2: Convert to fraction form
    362.42/543.62 = 88.51/x
  3. Step 3: Cross multiply
    362.42x = 543.62 × 88.51
  4. Step 4: Simplify right side
    362.42x = 48,112.65
  5. Step 5: Solve for x
    x = 48,112.65/362.42
  6. Step 6: Final answer
    x = 132.76

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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.