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Finding the Fourth Proportional to 362.16, 542.93 and 246.27

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Solution

The fourth proportional to 362.16, 542.93 and 246.27 is: 369.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    362.16 : 542.93 = 246.27 : x
  2. Step 2: Convert to fraction form
    362.16/542.93 = 246.27/x
  3. Step 3: Cross multiply
    362.16x = 542.93 × 246.27
  4. Step 4: Simplify right side
    362.16x = 133,709.10
  5. Step 5: Solve for x
    x = 133,709.10/362.16
  6. Step 6: Final answer
    x = 369.20

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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.