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Finding the Fourth Proportional to 155.76, 213.33 and 147.38

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Solution

The fourth proportional to 155.76, 213.33 and 147.38 is: 201.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    155.76 : 213.33 = 147.38 : x
  2. Step 2: Convert to fraction form
    155.76/213.33 = 147.38/x
  3. Step 3: Cross multiply
    155.76x = 213.33 × 147.38
  4. Step 4: Simplify right side
    155.76x = 31,439.51
  5. Step 5: Solve for x
    x = 31,439.51/155.76
  6. Step 6: Final answer
    x = 201.85

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.