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Finding the Fourth Proportional to 362.76, 544.66 and 187.18

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Solution

The fourth proportional to 362.76, 544.66 and 187.18 is: 281.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    362.76 : 544.66 = 187.18 : x
  2. Step 2: Convert to fraction form
    362.76/544.66 = 187.18/x
  3. Step 3: Cross multiply
    362.76x = 544.66 × 187.18
  4. Step 4: Simplify right side
    362.76x = 101,949.46
  5. Step 5: Solve for x
    x = 101,949.46/362.76
  6. Step 6: Final answer
    x = 281.04

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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.