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Finding the Fourth Proportional to 287.63, 396.84 and 175.56

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Solution

The fourth proportional to 287.63, 396.84 and 175.56 is: 242.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    287.63 : 396.84 = 175.56 : x
  2. Step 2: Convert to fraction form
    287.63/396.84 = 175.56/x
  3. Step 3: Cross multiply
    287.63x = 396.84 × 175.56
  4. Step 4: Simplify right side
    287.63x = 69,669.23
  5. Step 5: Solve for x
    x = 69,669.23/287.63
  6. Step 6: Final answer
    x = 242.22

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.