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Finding the Fourth Proportional to 155.44, 216.00 and 153.76

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Solution

The fourth proportional to 155.44, 216.00 and 153.76 is: 213.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    155.44 : 216.00 = 153.76 : x
  2. Step 2: Convert to fraction form
    155.44/216.00 = 153.76/x
  3. Step 3: Cross multiply
    155.44x = 216.00 × 153.76
  4. Step 4: Simplify right side
    155.44x = 33,210.31
  5. Step 5: Solve for x
    x = 33,210.31/155.44
  6. Step 6: Final answer
    x = 213.65

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.