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Finding the Fourth Proportional to 362.02, 542.94 and 156.64

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Solution

The fourth proportional to 362.02, 542.94 and 156.64 is: 234.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    362.02 : 542.94 = 156.64 : x
  2. Step 2: Convert to fraction form
    362.02/542.94 = 156.64/x
  3. Step 3: Cross multiply
    362.02x = 542.94 × 156.64
  4. Step 4: Simplify right side
    362.02x = 85,046.12
  5. Step 5: Solve for x
    x = 85,046.12/362.02
  6. Step 6: Final answer
    x = 234.92

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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.